Class 11 Video 2.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.integrate import odeint"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "alpha1 = 3.0\n",
    "beta1=0.5\n",
    "alpha2=0.4\n",
    "beta2=0.1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f(y,t):\n",
    "    return np.array([alpha1*y[0]-beta1*y[0]*y[1], \\\n",
    "                    -alpha2*y[1]+beta2*y[0]*y[1]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "time = np.linspace(0,70,500)\n",
    "yinit = np.array([0.1,6])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "y=odeint(f,yinit,time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"262.19625pt\" version=\"1.1\" viewBox=\"0 0 382.603125 262.19625\" width=\"382.603125pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <metadata>\r\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\r\n   <cc:Work>\r\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\r\n    <dc:date>2021-03-13T14:09:33.256810</dc:date>\r\n    <dc:format>image/svg+xml</dc:format>\r\n    <dc:creator>\r\n     <cc:Agent>\r\n      <dc:title>Matplotlib v3.3.1, https://matplotlib.org/</dc:title>\r\n     </cc:Agent>\r\n    </dc:creator>\r\n   </cc:Work>\r\n  </rdf:RDF>\r\n </metadata>\r\n <defs>\r\n  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n  <g id=\"patch_1\">\r\n   <path d=\"M 0 262.19625 \r\nL 382.603125 262.19625 \r\nL 382.603125 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n  </g>\r\n  <g id=\"axes_1\">\r\n   <g id=\"patch_2\">\r\n    <path d=\"M 40.603125 224.64 \r\nL 375.403125 224.64 \r\nL 375.403125 7.2 \r\nL 40.603125 7.2 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n   </g>\r\n   <g id=\"matplotlib.axis_1\">\r\n    <g id=\"xtick_1\">\r\n     <g id=\"line2d_1\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL 0 3.5 \r\n\" id=\"m0cce3466f0\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"55.821307\" xlink:href=\"#m0cce3466f0\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_1\">\r\n      <!-- 0 -->\r\n      <g transform=\"translate(52.640057 239.238437)scale(0.1 -0.1)\">\r\n       <defs>\r\n        <path d=\"M 31.78125 66.40625 \r\nQ 24.171875 66.40625 20.328125 58.90625 \r\nQ 16.5 51.421875 16.5 36.375 \r\nQ 16.5 21.390625 20.328125 13.890625 \r\nQ 24.171875 6.390625 31.78125 6.390625 \r\nQ 39.453125 6.390625 43.28125 13.890625 \r\nQ 47.125 21.390625 47.125 36.375 \r\nQ 47.125 51.421875 43.28125 58.90625 \r\nQ 39.453125 66.40625 31.78125 66.40625 \r\nz\r\nM 31.78125 74.21875 \r\nQ 44.046875 74.21875 50.515625 64.515625 \r\nQ 56.984375 54.828125 56.984375 36.375 \r\nQ 56.984375 17.96875 50.515625 8.265625 \r\nQ 44.046875 -1.421875 31.78125 -1.421875 \r\nQ 19.53125 -1.421875 13.0625 8.265625 \r\nQ 6.59375 17.96875 6.59375 36.375 \r\nQ 6.59375 54.828125 13.0625 64.515625 \r\nQ 19.53125 74.21875 31.78125 74.21875 \r\nz\r\n\" id=\"DejaVuSans-48\"/>\r\n       </defs>\r\n       <use xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_2\">\r\n     <g id=\"line2d_2\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"99.301826\" xlink:href=\"#m0cce3466f0\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_2\">\r\n      <!-- 10 -->\r\n      <g transform=\"translate(92.939326 239.238437)scale(0.1 -0.1)\">\r\n       <defs>\r\n        <path d=\"M 12.40625 8.296875 \r\nL 28.515625 8.296875 \r\nL 28.515625 63.921875 \r\nL 10.984375 60.40625 \r\nL 10.984375 69.390625 \r\nL 28.421875 72.90625 \r\nL 38.28125 72.90625 \r\nL 38.28125 8.296875 \r\nL 54.390625 8.296875 \r\nL 54.390625 0 \r\nL 12.40625 0 \r\nz\r\n\" id=\"DejaVuSans-49\"/>\r\n       </defs>\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_3\">\r\n     <g id=\"line2d_3\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"142.782346\" xlink:href=\"#m0cce3466f0\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_3\">\r\n      <!-- 20 -->\r\n      <g transform=\"translate(136.419846 239.238437)scale(0.1 -0.1)\">\r\n       <defs>\r\n        <path d=\"M 19.1875 8.296875 \r\nL 53.609375 8.296875 \r\nL 53.609375 0 \r\nL 7.328125 0 \r\nL 7.328125 8.296875 \r\nQ 12.9375 14.109375 22.625 23.890625 \r\nQ 32.328125 33.6875 34.8125 36.53125 \r\nQ 39.546875 41.84375 41.421875 45.53125 \r\nQ 43.3125 49.21875 43.3125 52.78125 \r\nQ 43.3125 58.59375 39.234375 62.25 \r\nQ 35.15625 65.921875 28.609375 65.921875 \r\nQ 23.96875 65.921875 18.8125 64.3125 \r\nQ 13.671875 62.703125 7.8125 59.421875 \r\nL 7.8125 69.390625 \r\nQ 13.765625 71.78125 18.9375 73 \r\nQ 24.125 74.21875 28.421875 74.21875 \r\nQ 39.75 74.21875 46.484375 68.546875 \r\nQ 53.21875 62.890625 53.21875 53.421875 \r\nQ 53.21875 48.921875 51.53125 44.890625 \r\nQ 49.859375 40.875 45.40625 35.40625 \r\nQ 44.1875 33.984375 37.640625 27.21875 \r\nQ 31.109375 20.453125 19.1875 8.296875 \r\nz\r\n\" id=\"DejaVuSans-50\"/>\r\n       </defs>\r\n       <use xlink:href=\"#DejaVuSans-50\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_4\">\r\n     <g id=\"line2d_4\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"186.262865\" xlink:href=\"#m0cce3466f0\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_4\">\r\n      <!-- 30 -->\r\n      <g transform=\"translate(179.900365 239.238437)scale(0.1 -0.1)\">\r\n       <defs>\r\n        <path d=\"M 40.578125 39.3125 \r\nQ 47.65625 37.796875 51.625 33 \r\nQ 55.609375 28.21875 55.609375 21.1875 \r\nQ 55.609375 10.40625 48.1875 4.484375 \r\nQ 40.765625 -1.421875 27.09375 -1.421875 \r\nQ 22.515625 -1.421875 17.65625 -0.515625 \r\nQ 12.796875 0.390625 7.625 2.203125 \r\nL 7.625 11.71875 \r\nQ 11.71875 9.328125 16.59375 8.109375 \r\nQ 21.484375 6.890625 26.8125 6.890625 \r\nQ 36.078125 6.890625 40.9375 10.546875 \r\nQ 45.796875 14.203125 45.796875 21.1875 \r\nQ 45.796875 27.640625 41.28125 31.265625 \r\nQ 36.765625 34.90625 28.71875 34.90625 \r\nL 20.21875 34.90625 \r\nL 20.21875 43.015625 \r\nL 29.109375 43.015625 \r\nQ 36.375 43.015625 40.234375 45.921875 \r\nQ 44.09375 48.828125 44.09375 54.296875 \r\nQ 44.09375 59.90625 40.109375 62.90625 \r\nQ 36.140625 65.921875 28.71875 65.921875 \r\nQ 24.65625 65.921875 20.015625 65.03125 \r\nQ 15.375 64.15625 9.8125 62.3125 \r\nL 9.8125 71.09375 \r\nQ 15.4375 72.65625 20.34375 73.4375 \r\nQ 25.25 74.21875 29.59375 74.21875 \r\nQ 40.828125 74.21875 47.359375 69.109375 \r\nQ 53.90625 64.015625 53.90625 55.328125 \r\nQ 53.90625 49.265625 50.4375 45.09375 \r\nQ 46.96875 40.921875 40.578125 39.3125 \r\nz\r\n\" id=\"DejaVuSans-51\"/>\r\n       </defs>\r\n       <use xlink:href=\"#DejaVuSans-51\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_5\">\r\n     <g id=\"line2d_5\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"229.743385\" xlink:href=\"#m0cce3466f0\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_5\">\r\n      <!-- 40 -->\r\n      <g transform=\"translate(223.380885 239.238437)scale(0.1 -0.1)\">\r\n       <defs>\r\n        <path d=\"M 37.796875 64.3125 \r\nL 12.890625 25.390625 \r\nL 37.796875 25.390625 \r\nz\r\nM 35.203125 72.90625 \r\nL 47.609375 72.90625 \r\nL 47.609375 25.390625 \r\nL 58.015625 25.390625 \r\nL 58.015625 17.1875 \r\nL 47.609375 17.1875 \r\nL 47.609375 0 \r\nL 37.796875 0 \r\nL 37.796875 17.1875 \r\nL 4.890625 17.1875 \r\nL 4.890625 26.703125 \r\nz\r\n\" id=\"DejaVuSans-52\"/>\r\n       </defs>\r\n       <use xlink:href=\"#DejaVuSans-52\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_6\">\r\n     <g id=\"line2d_6\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"273.223904\" xlink:href=\"#m0cce3466f0\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_6\">\r\n      <!-- 50 -->\r\n      <g transform=\"translate(266.861404 239.238437)scale(0.1 -0.1)\">\r\n       <defs>\r\n        <path d=\"M 10.796875 72.90625 \r\nL 49.515625 72.90625 \r\nL 49.515625 64.59375 \r\nL 19.828125 64.59375 \r\nL 19.828125 46.734375 \r\nQ 21.96875 47.46875 24.109375 47.828125 \r\nQ 26.265625 48.1875 28.421875 48.1875 \r\nQ 40.625 48.1875 47.75 41.5 \r\nQ 54.890625 34.8125 54.890625 23.390625 \r\nQ 54.890625 11.625 47.5625 5.09375 \r\nQ 40.234375 -1.421875 26.90625 -1.421875 \r\nQ 22.3125 -1.421875 17.546875 -0.640625 \r\nQ 12.796875 0.140625 7.71875 1.703125 \r\nL 7.71875 11.625 \r\nQ 12.109375 9.234375 16.796875 8.0625 \r\nQ 21.484375 6.890625 26.703125 6.890625 \r\nQ 35.15625 6.890625 40.078125 11.328125 \r\nQ 45.015625 15.765625 45.015625 23.390625 \r\nQ 45.015625 31 40.078125 35.4375 \r\nQ 35.15625 39.890625 26.703125 39.890625 \r\nQ 22.75 39.890625 18.8125 39.015625 \r\nQ 14.890625 38.140625 10.796875 36.28125 \r\nz\r\n\" id=\"DejaVuSans-53\"/>\r\n       </defs>\r\n       <use xlink:href=\"#DejaVuSans-53\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_7\">\r\n     <g id=\"line2d_7\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"316.704424\" xlink:href=\"#m0cce3466f0\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_7\">\r\n      <!-- 60 -->\r\n      <g transform=\"translate(310.341924 239.238437)scale(0.1 -0.1)\">\r\n       <defs>\r\n        <path d=\"M 33.015625 40.375 \r\nQ 26.375 40.375 22.484375 35.828125 \r\nQ 18.609375 31.296875 18.609375 23.390625 \r\nQ 18.609375 15.53125 22.484375 10.953125 \r\nQ 26.375 6.390625 33.015625 6.390625 \r\nQ 39.65625 6.390625 43.53125 10.953125 \r\nQ 47.40625 15.53125 47.40625 23.390625 \r\nQ 47.40625 31.296875 43.53125 35.828125 \r\nQ 39.65625 40.375 33.015625 40.375 \r\nz\r\nM 52.59375 71.296875 \r\nL 52.59375 62.3125 \r\nQ 48.875 64.0625 45.09375 64.984375 \r\nQ 41.3125 65.921875 37.59375 65.921875 \r\nQ 27.828125 65.921875 22.671875 59.328125 \r\nQ 17.53125 52.734375 16.796875 39.40625 \r\nQ 19.671875 43.65625 24.015625 45.921875 \r\nQ 28.375 48.1875 33.59375 48.1875 \r\nQ 44.578125 48.1875 50.953125 41.515625 \r\nQ 57.328125 34.859375 57.328125 23.390625 \r\nQ 57.328125 12.15625 50.6875 5.359375 \r\nQ 44.046875 -1.421875 33.015625 -1.421875 \r\nQ 20.359375 -1.421875 13.671875 8.265625 \r\nQ 6.984375 17.96875 6.984375 36.375 \r\nQ 6.984375 53.65625 15.1875 63.9375 \r\nQ 23.390625 74.21875 37.203125 74.21875 \r\nQ 40.921875 74.21875 44.703125 73.484375 \r\nQ 48.484375 72.75 52.59375 71.296875 \r\nz\r\n\" id=\"DejaVuSans-54\"/>\r\n       </defs>\r\n       <use xlink:href=\"#DejaVuSans-54\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_8\">\r\n     <g id=\"line2d_8\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"360.184943\" xlink:href=\"#m0cce3466f0\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_8\">\r\n      <!-- 70 -->\r\n      <g transform=\"translate(353.822443 239.238437)scale(0.1 -0.1)\">\r\n       <defs>\r\n        <path d=\"M 8.203125 72.90625 \r\nL 55.078125 72.90625 \r\nL 55.078125 68.703125 \r\nL 28.609375 0 \r\nL 18.3125 0 \r\nL 43.21875 64.59375 \r\nL 8.203125 64.59375 \r\nz\r\n\" id=\"DejaVuSans-55\"/>\r\n       </defs>\r\n       <use xlink:href=\"#DejaVuSans-55\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_9\">\r\n     <!-- t -->\r\n     <g transform=\"translate(206.042969 252.916562)scale(0.1 -0.1)\">\r\n      <defs>\r\n       <path d=\"M 18.3125 70.21875 \r\nL 18.3125 54.6875 \r\nL 36.8125 54.6875 \r\nL 36.8125 47.703125 \r\nL 18.3125 47.703125 \r\nL 18.3125 18.015625 \r\nQ 18.3125 11.328125 20.140625 9.421875 \r\nQ 21.96875 7.515625 27.59375 7.515625 \r\nL 36.8125 7.515625 \r\nL 36.8125 0 \r\nL 27.59375 0 \r\nQ 17.1875 0 13.234375 3.875 \r\nQ 9.28125 7.765625 9.28125 18.015625 \r\nL 9.28125 47.703125 \r\nL 2.6875 47.703125 \r\nL 2.6875 54.6875 \r\nL 9.28125 54.6875 \r\nL 9.28125 70.21875 \r\nz\r\n\" id=\"DejaVuSans-116\"/>\r\n      </defs>\r\n      <use xlink:href=\"#DejaVuSans-116\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_2\">\r\n    <g id=\"ytick_1\">\r\n     <g id=\"line2d_9\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL -3.5 0 \r\n\" id=\"m5aefc02a21\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"40.603125\" xlink:href=\"#m5aefc02a21\" y=\"215.675748\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_10\">\r\n      <!-- 0 -->\r\n      <g transform=\"translate(27.240625 219.474967)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_2\">\r\n     <g id=\"line2d_10\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"40.603125\" xlink:href=\"#m5aefc02a21\" y=\"169.706541\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_11\">\r\n      <!-- 5 -->\r\n      <g transform=\"translate(27.240625 173.505759)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_3\">\r\n     <g id=\"line2d_11\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"40.603125\" xlink:href=\"#m5aefc02a21\" y=\"123.737333\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_12\">\r\n      <!-- 10 -->\r\n      <g transform=\"translate(20.878125 127.536552)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_4\">\r\n     <g id=\"line2d_12\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"40.603125\" xlink:href=\"#m5aefc02a21\" y=\"77.768126\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_13\">\r\n      <!-- 15 -->\r\n      <g transform=\"translate(20.878125 81.567345)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_5\">\r\n     <g id=\"line2d_13\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"40.603125\" xlink:href=\"#m5aefc02a21\" y=\"31.798919\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_14\">\r\n      <!-- 20 -->\r\n      <g transform=\"translate(20.878125 35.598137)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-50\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_15\">\r\n     <!-- y -->\r\n     <g transform=\"translate(14.798438 118.879375)rotate(-90)scale(0.1 -0.1)\">\r\n      <defs>\r\n       <path d=\"M 32.171875 -5.078125 \r\nQ 28.375 -14.84375 24.75 -17.8125 \r\nQ 21.140625 -20.796875 15.09375 -20.796875 \r\nL 7.90625 -20.796875 \r\nL 7.90625 -13.28125 \r\nL 13.1875 -13.28125 \r\nQ 16.890625 -13.28125 18.9375 -11.515625 \r\nQ 21 -9.765625 23.484375 -3.21875 \r\nL 25.09375 0.875 \r\nL 2.984375 54.6875 \r\nL 12.5 54.6875 \r\nL 29.59375 11.921875 \r\nL 46.6875 54.6875 \r\nL 56.203125 54.6875 \r\nz\r\n\" id=\"DejaVuSans-121\"/>\r\n      </defs>\r\n      <use xlink:href=\"#DejaVuSans-121\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"line2d_14\">\r\n    <path clip-path=\"url(#p6d9b758337)\" d=\"M 55.821307 214.756364 \r\nL 57.651148 214.661574 \r\nL 59.48099 214.342054 \r\nL 60.700884 213.93501 \r\nL 61.920778 213.26732 \r\nL 63.140673 212.167643 \r\nL 63.75062 211.368231 \r\nL 64.360567 210.331287 \r\nL 64.970514 208.980759 \r\nL 65.580461 207.215133 \r\nL 66.190409 204.899208 \r\nL 66.800356 201.853698 \r\nL 67.410303 197.842602 \r\nL 68.02025 192.558947 \r\nL 68.630197 185.610881 \r\nL 69.240144 176.51309 \r\nL 69.850092 164.694194 \r\nL 70.460039 149.541465 \r\nL 71.069986 130.522516 \r\nL 72.28988 80.988917 \r\nL 73.509775 29.739471 \r\nL 74.119722 17.43643 \r\nL 74.729669 24.163469 \r\nL 75.339616 51.488194 \r\nL 76.55951 130.016944 \r\nL 77.169458 160.362936 \r\nL 77.779405 180.863129 \r\nL 78.389352 193.726355 \r\nL 78.999299 201.56892 \r\nL 79.609246 206.342609 \r\nL 80.219194 209.287363 \r\nL 80.829141 211.142137 \r\nL 81.439088 212.338472 \r\nL 82.049035 213.12873 \r\nL 82.658982 213.662331 \r\nL 83.878877 214.284993 \r\nL 85.098771 214.588356 \r\nL 86.928612 214.751228 \r\nL 88.758454 214.700637 \r\nL 90.588295 214.441107 \r\nL 91.80819 214.099105 \r\nL 93.028084 213.536165 \r\nL 94.247978 212.611848 \r\nL 94.857926 211.942401 \r\nL 95.467873 211.076502 \r\nL 96.07782 209.951889 \r\nL 96.687767 208.485406 \r\nL 97.297714 206.566111 \r\nL 97.907661 204.046408 \r\nL 98.517609 200.73094 \r\nL 99.127556 196.363355 \r\nL 99.737503 190.611842 \r\nL 100.34745 183.056144 \r\nL 100.957397 173.182391 \r\nL 101.567344 160.399076 \r\nL 102.177292 144.100195 \r\nL 102.787239 123.822781 \r\nL 104.007133 72.430978 \r\nL 104.61708 45.413914 \r\nL 105.227027 24.323912 \r\nL 105.836975 17.227185 \r\nL 106.446922 30.604093 \r\nL 107.056869 63.000462 \r\nL 108.276763 140.476985 \r\nL 108.88671 167.672114 \r\nL 109.496658 185.519986 \r\nL 110.106605 196.577288 \r\nL 110.716552 203.300446 \r\nL 111.326499 207.404845 \r\nL 111.936446 209.951691 \r\nL 112.546393 211.567403 \r\nL 113.156341 212.617342 \r\nL 113.766288 213.315809 \r\nL 114.376235 213.790332 \r\nL 115.596129 214.34723 \r\nL 116.816024 214.618067 \r\nL 118.645865 214.754803 \r\nL 120.475707 214.684541 \r\nL 122.305548 214.399065 \r\nL 123.525442 214.029252 \r\nL 124.745337 213.421739 \r\nL 125.965231 212.423033 \r\nL 126.575178 211.69854 \r\nL 127.185125 210.760254 \r\nL 127.795073 209.540093 \r\nL 128.40502 207.947141 \r\nL 129.014967 205.860186 \r\nL 129.624914 203.118174 \r\nL 130.234861 199.508413 \r\nL 130.844808 194.752802 \r\nL 131.454756 188.493411 \r\nL 132.064703 180.280994 \r\nL 132.67465 169.574474 \r\nL 133.284597 155.767902 \r\nL 133.894544 138.276471 \r\nL 135.114439 91.409317 \r\nL 136.334333 37.920349 \r\nL 136.94428 20.250191 \r\nL 137.554227 19.031841 \r\nL 138.164174 38.93724 \r\nL 139.994016 149.973255 \r\nL 140.603963 174.075791 \r\nL 141.21391 189.531804 \r\nL 141.823857 199.020859 \r\nL 142.433805 204.787037 \r\nL 143.043752 208.32163 \r\nL 143.653699 210.529049 \r\nL 144.263646 211.939766 \r\nL 144.873593 212.863297 \r\nL 145.48354 213.481881 \r\nL 146.703435 214.197809 \r\nL 147.923329 214.546217 \r\nL 149.753171 214.743837 \r\nL 151.583012 214.717646 \r\nL 153.412854 214.488582 \r\nL 154.632748 214.178519 \r\nL 155.852642 213.666294 \r\nL 157.072537 212.826137 \r\nL 157.682484 212.218786 \r\nL 158.292431 211.434417 \r\nL 158.902378 210.417295 \r\nL 159.512325 209.092971 \r\nL 160.122272 207.362062 \r\nL 160.73222 205.092175 \r\nL 161.342167 202.107675 \r\nL 161.952114 198.177213 \r\nL 162.562061 192.999538 \r\nL 163.172008 186.189455 \r\nL 163.781955 177.268566 \r\nL 164.391903 165.670936 \r\nL 165.00185 150.78399 \r\nL 165.611797 132.062622 \r\nL 166.831691 83.01582 \r\nL 168.051586 31.200769 \r\nL 168.661533 17.768047 \r\nL 169.27148 22.926116 \r\nL 169.881427 48.905413 \r\nL 171.101321 127.387789 \r\nL 171.711269 158.479142 \r\nL 172.321216 179.647921 \r\nL 172.931163 192.97913 \r\nL 173.54111 201.115221 \r\nL 174.151057 206.065066 \r\nL 174.761004 209.114491 \r\nL 175.370952 211.031973 \r\nL 175.980899 212.266554 \r\nL 176.590846 213.080682 \r\nL 177.200793 213.629568 \r\nL 178.420687 214.269113 \r\nL 179.640582 214.580718 \r\nL 181.470423 214.750063 \r\nL 183.300265 214.704162 \r\nL 185.130106 214.450636 \r\nL 186.350001 214.114992 \r\nL 187.569895 213.562191 \r\nL 188.789789 212.654744 \r\nL 189.399736 211.99776 \r\nL 190.009684 211.148235 \r\nL 190.619631 210.045223 \r\nL 191.229578 208.607318 \r\nL 191.839525 206.725902 \r\nL 192.449472 204.256429 \r\nL 193.059419 201.007487 \r\nL 193.669367 196.727706 \r\nL 194.279314 191.091319 \r\nL 194.889261 183.684909 \r\nL 195.499208 174.00133 \r\nL 196.109155 161.453428 \r\nL 196.719102 145.432416 \r\nL 197.32905 125.456234 \r\nL 198.548944 74.477679 \r\nL 199.158891 47.289906 \r\nL 199.768838 25.50343 \r\nL 200.378785 17.098821 \r\nL 200.988733 28.888375 \r\nL 201.59868 60.166511 \r\nL 202.818574 138.067413 \r\nL 203.428521 166.013428 \r\nL 204.038468 184.47092 \r\nL 204.648416 195.936614 \r\nL 205.258363 202.911171 \r\nL 205.86831 207.165573 \r\nL 206.478257 209.80165 \r\nL 207.088204 211.471074 \r\nL 207.698151 212.553993 \r\nL 208.308099 213.273202 \r\nL 208.918046 213.761119 \r\nL 210.13794 214.333001 \r\nL 211.357834 214.611312 \r\nL 213.187676 214.754141 \r\nL 215.017517 214.688576 \r\nL 216.847359 214.409407 \r\nL 218.067253 214.046403 \r\nL 219.287148 213.449834 \r\nL 220.507042 212.469427 \r\nL 221.116989 211.758486 \r\nL 221.726936 210.838032 \r\nL 222.336883 209.641416 \r\nL 222.946831 208.079636 \r\nL 223.556778 206.034012 \r\nL 224.166725 203.346796 \r\nL 224.776672 199.809553 \r\nL 225.386619 195.149494 \r\nL 225.996566 189.015031 \r\nL 226.606514 180.963865 \r\nL 227.216461 170.461237 \r\nL 227.826408 156.904021 \r\nL 228.436355 139.700835 \r\nL 229.656249 93.38046 \r\nL 230.876144 39.646445 \r\nL 231.486091 21.086388 \r\nL 232.096038 18.41291 \r\nL 232.705985 36.789765 \r\nL 235.145774 172.626798 \r\nL 235.755721 188.629059 \r\nL 236.365668 198.471761 \r\nL 236.975615 204.452651 \r\nL 237.585563 208.114953 \r\nL 238.19551 210.398529 \r\nL 238.805457 211.855341 \r\nL 239.415404 212.807377 \r\nL 240.025351 213.444031 \r\nL 241.245246 214.179613 \r\nL 242.46514 214.537373 \r\nL 244.294981 214.742027 \r\nL 246.124823 214.720558 \r\nL 247.954664 214.497171 \r\nL 249.174559 214.192965 \r\nL 250.394453 213.689978 \r\nL 251.614347 212.865089 \r\nL 252.224295 212.268981 \r\nL 252.834242 211.499357 \r\nL 253.444189 210.501658 \r\nL 254.054136 209.203006 \r\nL 254.664083 207.506104 \r\nL 255.27403 205.281314 \r\nL 255.883978 202.356584 \r\nL 256.493925 198.505137 \r\nL 257.103872 193.431373 \r\nL 257.713819 186.756693 \r\nL 258.323766 178.009642 \r\nL 258.933713 166.629937 \r\nL 259.543661 152.005744 \r\nL 260.153608 133.58056 \r\nL 261.373502 85.034645 \r\nL 262.593396 32.720372 \r\nL 263.203344 18.203088 \r\nL 263.813291 21.806758 \r\nL 264.423238 46.396127 \r\nL 266.253079 156.53968 \r\nL 266.863027 178.389926 \r\nL 267.472974 192.203971 \r\nL 268.082921 200.644517 \r\nL 268.692868 205.777408 \r\nL 269.302815 208.935595 \r\nL 269.912762 210.918171 \r\nL 270.52271 212.192393 \r\nL 271.132657 213.031215 \r\nL 271.742604 213.595883 \r\nL 272.962498 214.252809 \r\nL 274.182393 214.572856 \r\nL 276.012234 214.748777 \r\nL 277.842076 214.707569 \r\nL 279.671917 214.45998 \r\nL 280.891811 214.130594 \r\nL 282.111706 213.587752 \r\nL 283.3316 212.696854 \r\nL 283.941547 212.052088 \r\nL 284.551494 211.218612 \r\nL 285.161442 210.136764 \r\nL 285.771389 208.726856 \r\nL 286.381336 206.882544 \r\nL 286.991283 204.462274 \r\nL 287.60123 201.27851 \r\nL 288.211177 197.084783 \r\nL 288.821125 191.561296 \r\nL 289.431072 184.301438 \r\nL 290.041019 174.804848 \r\nL 290.650966 162.489022 \r\nL 291.260913 146.743166 \r\nL 291.87086 127.067768 \r\nL 293.090755 76.522354 \r\nL 294.310649 26.755972 \r\nL 294.920596 17.083636 \r\nL 295.530543 27.283265 \r\nL 296.140491 57.383259 \r\nL 297.360385 135.603236 \r\nL 297.970332 164.302038 \r\nL 298.580279 183.3839 \r\nL 299.190226 195.271859 \r\nL 299.800174 202.507393 \r\nL 300.410121 206.917689 \r\nL 301.020068 209.646462 \r\nL 301.630015 211.371619 \r\nL 302.239962 212.488702 \r\nL 302.849909 213.229358 \r\nL 303.459857 213.731095 \r\nL 304.679751 214.318392 \r\nL 305.899645 214.604351 \r\nL 307.729487 214.753361 \r\nL 309.559328 214.692489 \r\nL 311.38917 214.419553 \r\nL 312.609064 214.063246 \r\nL 313.828958 213.477424 \r\nL 315.048853 212.514965 \r\nL 315.6588 211.817311 \r\nL 316.268747 210.91433 \r\nL 316.878694 209.740783 \r\nL 317.488641 208.20954 \r\nL 318.098589 206.2044 \r\nL 318.708536 203.570864 \r\nL 319.318483 200.104672 \r\nL 319.92843 195.538277 \r\nL 320.538377 189.526361 \r\nL 321.148324 181.633556 \r\nL 321.758272 171.331542 \r\nL 322.368219 158.020426 \r\nL 322.978166 141.103243 \r\nL 323.588113 120.165077 \r\nL 326.027902 22.010076 \r\nL 326.637849 17.912678 \r\nL 327.247796 34.739451 \r\nL 328.46769 110.110093 \r\nL 329.077638 145.565753 \r\nL 329.687585 171.129189 \r\nL 330.297532 187.693036 \r\nL 330.907479 197.902005 \r\nL 331.517426 204.105914 \r\nL 332.127373 207.900938 \r\nL 332.737321 210.263604 \r\nL 333.347268 211.768223 \r\nL 333.957215 212.74977 \r\nL 334.567162 213.405096 \r\nL 335.787056 214.160929 \r\nL 337.006951 214.52828 \r\nL 338.836792 214.740088 \r\nL 340.666634 214.723354 \r\nL 342.496475 214.505587 \r\nL 343.71637 214.207148 \r\nL 344.936264 213.713238 \r\nL 346.156158 212.90333 \r\nL 346.766106 212.318245 \r\nL 347.376053 211.563074 \r\nL 347.986 210.584408 \r\nL 348.595947 209.310906 \r\nL 349.205894 207.647316 \r\nL 349.815841 205.4667 \r\nL 350.425789 202.600522 \r\nL 351.035736 198.826502 \r\nL 351.645683 193.854609 \r\nL 352.25563 187.312789 \r\nL 352.865577 178.73654 \r\nL 353.475524 167.571419 \r\nL 354.085472 153.206887 \r\nL 354.695419 135.076298 \r\nL 355.915313 87.044126 \r\nL 357.135207 34.294834 \r\nL 357.745155 18.738788 \r\nL 358.355102 20.806301 \r\nL 358.965049 43.965424 \r\nL 360.184943 121.984791 \r\nL 360.184943 121.984791 \r\n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_15\">\r\n    <path clip-path=\"url(#p6d9b758337)\" d=\"M 55.821307 160.512699 \r\nL 57.651148 168.855825 \r\nL 59.48099 175.900635 \r\nL 61.310831 181.809647 \r\nL 63.140673 186.703399 \r\nL 64.360567 189.43318 \r\nL 65.580461 191.729791 \r\nL 66.800356 193.548029 \r\nL 68.02025 194.777352 \r\nL 68.630197 195.104539 \r\nL 69.240144 195.178588 \r\nL 69.850092 194.925448 \r\nL 70.460039 194.234106 \r\nL 71.069986 192.935766 \r\nL 71.679933 190.771443 \r\nL 72.28988 187.345976 \r\nL 72.899827 182.079298 \r\nL 73.509775 174.211218 \r\nL 74.119722 163.018211 \r\nL 76.55951 106.402331 \r\nL 77.169458 100.78454 \r\nL 77.779405 99.455744 \r\nL 78.389352 101.025901 \r\nL 78.999299 104.314198 \r\nL 80.219194 113.165716 \r\nL 83.268929 136.295981 \r\nL 85.098771 148.188558 \r\nL 86.928612 158.386816 \r\nL 88.758454 167.055195 \r\nL 90.588295 174.383525 \r\nL 92.418137 180.541751 \r\nL 94.247978 185.661606 \r\nL 95.467873 188.537702 \r\nL 96.687767 190.986875 \r\nL 97.907661 192.978767 \r\nL 99.127556 194.430204 \r\nL 99.737503 194.902015 \r\nL 100.34745 195.157303 \r\nL 100.957397 195.139631 \r\nL 101.567344 194.76522 \r\nL 102.177292 193.907896 \r\nL 102.787239 192.375112 \r\nL 103.397186 189.871304 \r\nL 104.007133 185.948705 \r\nL 104.61708 179.965576 \r\nL 105.227027 171.133487 \r\nL 105.836975 158.848925 \r\nL 107.666816 113.294371 \r\nL 108.276763 104.135695 \r\nL 108.88671 99.980346 \r\nL 109.496658 99.693601 \r\nL 110.106605 101.902359 \r\nL 110.716552 105.54331 \r\nL 112.546393 119.441809 \r\nL 114.986182 137.600639 \r\nL 116.816024 149.314293 \r\nL 118.645865 159.34641 \r\nL 120.475707 167.868232 \r\nL 122.305548 175.068806 \r\nL 124.13539 181.114861 \r\nL 125.965231 186.133259 \r\nL 127.185125 188.944039 \r\nL 128.40502 191.325579 \r\nL 129.624914 193.241247 \r\nL 130.844808 194.596405 \r\nL 131.454756 195.006158 \r\nL 132.064703 195.184231 \r\nL 132.67465 195.066957 \r\nL 133.284597 194.559412 \r\nL 133.894544 193.51801 \r\nL 134.504491 191.722968 \r\nL 135.114439 188.837348 \r\nL 135.724386 184.356279 \r\nL 136.334333 177.579416 \r\nL 136.94428 167.719759 \r\nL 137.554227 154.372302 \r\nL 138.774122 122.505873 \r\nL 139.384069 109.906711 \r\nL 139.994016 102.35628 \r\nL 140.603963 99.54597 \r\nL 141.21391 100.166716 \r\nL 141.823857 102.912569 \r\nL 143.043752 111.360384 \r\nL 146.093488 134.654913 \r\nL 147.923329 146.769255 \r\nL 149.753171 157.175846 \r\nL 151.583012 166.028569 \r\nL 153.412854 173.517644 \r\nL 155.242695 179.816755 \r\nL 157.072537 185.0634 \r\nL 158.292431 188.020427 \r\nL 159.512325 190.552432 \r\nL 160.73222 192.636125 \r\nL 161.952114 194.201046 \r\nL 162.562061 194.744736 \r\nL 163.172008 195.088354 \r\nL 163.781955 195.183218 \r\nL 164.391903 194.957412 \r\nL 165.00185 194.303238 \r\nL 165.611797 193.057097 \r\nL 166.221744 190.96806 \r\nL 166.831691 187.652784 \r\nL 167.441638 182.54592 \r\nL 168.051586 174.897126 \r\nL 168.661533 163.964123 \r\nL 169.881427 133.334318 \r\nL 170.491374 118.137121 \r\nL 171.101321 107.016941 \r\nL 171.711269 101.035689 \r\nL 172.321216 99.437988 \r\nL 172.931163 100.839511 \r\nL 173.54111 104.032979 \r\nL 174.761004 112.816062 \r\nL 177.81074 135.9821 \r\nL 179.640582 147.917389 \r\nL 181.470423 158.155552 \r\nL 183.300265 166.859188 \r\nL 185.130106 174.218256 \r\nL 186.959948 180.403443 \r\nL 188.789789 185.547614 \r\nL 190.009684 188.43929 \r\nL 191.229578 190.904488 \r\nL 192.449472 192.914271 \r\nL 193.669367 194.388035 \r\nL 194.279314 194.874097 \r\nL 194.889261 195.146994 \r\nL 195.499208 195.151879 \r\nL 196.109155 194.807415 \r\nL 196.719102 193.991236 \r\nL 197.32905 192.516761 \r\nL 197.938997 190.097575 \r\nL 198.548944 186.298894 \r\nL 199.158891 180.493576 \r\nL 199.768838 171.89769 \r\nL 200.378785 159.872535 \r\nL 202.208627 114.173389 \r\nL 202.818574 104.631253 \r\nL 203.428521 100.136944 \r\nL 204.038468 99.61408 \r\nL 204.648416 101.680192 \r\nL 205.258363 105.2433 \r\nL 206.478257 114.286712 \r\nL 208.918046 132.986359 \r\nL 210.747887 145.321949 \r\nL 212.577729 155.939581 \r\nL 214.40757 164.979798 \r\nL 216.237412 172.632463 \r\nL 218.067253 179.074718 \r\nL 219.897095 184.449542 \r\nL 221.116989 187.487683 \r\nL 222.336883 190.101723 \r\nL 223.556778 192.274752 \r\nL 224.776672 193.947598 \r\nL 225.386619 194.558349 \r\nL 225.996566 194.983257 \r\nL 226.606514 195.180266 \r\nL 227.216461 195.087519 \r\nL 227.826408 194.612892 \r\nL 228.436355 193.617173 \r\nL 229.046302 191.887415 \r\nL 229.656249 189.097001 \r\nL 230.266197 184.755041 \r\nL 230.876144 178.174631 \r\nL 231.486091 168.565047 \r\nL 232.096038 155.466041 \r\nL 233.92588 110.670211 \r\nL 234.535827 102.737812 \r\nL 235.145774 99.618307 \r\nL 235.755721 100.034446 \r\nL 236.365668 102.660757 \r\nL 237.585563 111.0161 \r\nL 240.635298 134.335673 \r\nL 242.46514 146.492693 \r\nL 244.294981 156.939724 \r\nL 246.124823 165.828313 \r\nL 247.954664 173.348672 \r\nL 249.784506 179.675174 \r\nL 251.614347 184.946394 \r\nL 252.834242 187.919024 \r\nL 254.054136 190.466884 \r\nL 255.27403 192.567961 \r\nL 256.493925 194.154077 \r\nL 257.103872 194.711036 \r\nL 257.713819 195.070826 \r\nL 258.323766 195.186123 \r\nL 258.933713 194.987079 \r\nL 259.543661 194.369205 \r\nL 260.153608 193.17393 \r\nL 260.763555 191.158134 \r\nL 261.373502 187.950005 \r\nL 261.983449 182.998837 \r\nL 262.593396 175.565056 \r\nL 263.203344 164.890974 \r\nL 264.423238 134.540071 \r\nL 265.033185 119.14502 \r\nL 265.643132 107.660394 \r\nL 266.253079 101.310892 \r\nL 266.863027 99.436381 \r\nL 267.472974 100.662632 \r\nL 268.082921 103.756826 \r\nL 269.302815 112.46721 \r\nL 272.352551 135.667145 \r\nL 274.182393 147.645155 \r\nL 276.012234 157.923331 \r\nL 277.842076 166.662346 \r\nL 279.671917 174.05226 \r\nL 281.501759 180.264493 \r\nL 283.3316 185.43303 \r\nL 284.551494 188.340289 \r\nL 285.771389 190.821478 \r\nL 286.991283 192.84905 \r\nL 288.211177 194.344913 \r\nL 288.821125 194.845027 \r\nL 289.431072 195.135241 \r\nL 290.041019 195.162251 \r\nL 290.650966 194.847083 \r\nL 291.260913 194.071059 \r\nL 291.87086 192.653369 \r\nL 292.480808 190.316481 \r\nL 293.090755 186.638325 \r\nL 293.700702 181.006469 \r\nL 294.310649 172.642993 \r\nL 294.920596 160.878275 \r\nL 296.750438 115.078832 \r\nL 297.360385 105.154949 \r\nL 297.970332 100.315197 \r\nL 298.580279 99.548434 \r\nL 299.190226 101.46594 \r\nL 299.800174 104.947367 \r\nL 301.020068 113.934841 \r\nL 303.459857 132.661871 \r\nL 305.289698 145.039944 \r\nL 307.11954 155.698522 \r\nL 308.949381 164.775215 \r\nL 310.779223 172.459722 \r\nL 312.609064 178.929815 \r\nL 314.438906 184.329499 \r\nL 315.6588 187.383296 \r\nL 316.878694 190.013066 \r\nL 318.098589 192.203053 \r\nL 319.318483 193.896114 \r\nL 319.92843 194.519284 \r\nL 320.538377 194.959124 \r\nL 321.148324 195.17474 \r\nL 321.758272 195.106033 \r\nL 322.368219 194.663583 \r\nL 322.978166 193.712416 \r\nL 323.588113 192.046203 \r\nL 324.19806 189.348363 \r\nL 324.808007 185.141777 \r\nL 325.417955 178.753374 \r\nL 326.027902 169.390965 \r\nL 326.637849 156.544122 \r\nL 328.46769 111.461985 \r\nL 329.077638 103.145984 \r\nL 329.687585 99.709812 \r\nL 330.297532 99.913968 \r\nL 330.907479 102.415471 \r\nL 332.127373 110.673118 \r\nL 335.787056 138.275522 \r\nL 337.616898 149.895791 \r\nL 339.44674 159.841791 \r\nL 341.276581 168.287789 \r\nL 343.106423 175.422271 \r\nL 344.936264 181.410218 \r\nL 346.766106 186.375862 \r\nL 347.986 189.152467 \r\nL 349.205894 191.498323 \r\nL 350.425789 193.373292 \r\nL 351.645683 194.676267 \r\nL 352.25563 195.051978 \r\nL 352.865577 195.187337 \r\nL 353.475524 195.014499 \r\nL 354.085472 194.432081 \r\nL 354.695419 193.286379 \r\nL 355.305366 191.341838 \r\nL 355.915313 188.237892 \r\nL 356.52526 183.438363 \r\nL 357.135207 176.215251 \r\nL 357.745155 165.798588 \r\nL 358.965049 135.7505 \r\nL 359.574996 120.175236 \r\nL 360.184943 108.332711 \r\nL 360.184943 108.332711 \r\n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"patch_3\">\r\n    <path d=\"M 40.603125 224.64 \r\nL 40.603125 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_4\">\r\n    <path d=\"M 375.403125 224.64 \r\nL 375.403125 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_5\">\r\n    <path d=\"M 40.603125 224.64 \r\nL 375.403125 224.64 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_6\">\r\n    <path d=\"M 40.603125 7.2 \r\nL 375.403125 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"legend_1\">\r\n    <g id=\"patch_7\">\r\n     <path d=\"M 47.603125 44.55625 \r\nL 127.332813 44.55625 \r\nQ 129.332813 44.55625 129.332813 42.55625 \r\nL 129.332813 14.2 \r\nQ 129.332813 12.2 127.332813 12.2 \r\nL 47.603125 12.2 \r\nQ 45.603125 12.2 45.603125 14.2 \r\nL 45.603125 42.55625 \r\nQ 45.603125 44.55625 47.603125 44.55625 \r\nz\r\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\r\n    </g>\r\n    <g id=\"line2d_16\">\r\n     <path d=\"M 49.603125 20.298437 \r\nL 69.603125 20.298437 \r\n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_17\"/>\r\n    <g id=\"text_16\">\r\n     <!-- Prey -->\r\n     <g transform=\"translate(77.603125 23.798437)scale(0.1 -0.1)\">\r\n      <defs>\r\n       <path d=\"M 19.671875 64.796875 \r\nL 19.671875 37.40625 \r\nL 32.078125 37.40625 \r\nQ 38.96875 37.40625 42.71875 40.96875 \r\nQ 46.484375 44.53125 46.484375 51.125 \r\nQ 46.484375 57.671875 42.71875 61.234375 \r\nQ 38.96875 64.796875 32.078125 64.796875 \r\nz\r\nM 9.8125 72.90625 \r\nL 32.078125 72.90625 \r\nQ 44.34375 72.90625 50.609375 67.359375 \r\nQ 56.890625 61.8125 56.890625 51.125 \r\nQ 56.890625 40.328125 50.609375 34.8125 \r\nQ 44.34375 29.296875 32.078125 29.296875 \r\nL 19.671875 29.296875 \r\nL 19.671875 0 \r\nL 9.8125 0 \r\nz\r\n\" id=\"DejaVuSans-80\"/>\r\n       <path d=\"M 41.109375 46.296875 \r\nQ 39.59375 47.171875 37.8125 47.578125 \r\nQ 36.03125 48 33.890625 48 \r\nQ 26.265625 48 22.1875 43.046875 \r\nQ 18.109375 38.09375 18.109375 28.8125 \r\nL 18.109375 0 \r\nL 9.078125 0 \r\nL 9.078125 54.6875 \r\nL 18.109375 54.6875 \r\nL 18.109375 46.1875 \r\nQ 20.953125 51.171875 25.484375 53.578125 \r\nQ 30.03125 56 36.53125 56 \r\nQ 37.453125 56 38.578125 55.875 \r\nQ 39.703125 55.765625 41.0625 55.515625 \r\nz\r\n\" id=\"DejaVuSans-114\"/>\r\n       <path d=\"M 56.203125 29.59375 \r\nL 56.203125 25.203125 \r\nL 14.890625 25.203125 \r\nQ 15.484375 15.921875 20.484375 11.0625 \r\nQ 25.484375 6.203125 34.421875 6.203125 \r\nQ 39.59375 6.203125 44.453125 7.46875 \r\nQ 49.3125 8.734375 54.109375 11.28125 \r\nL 54.109375 2.78125 \r\nQ 49.265625 0.734375 44.1875 -0.34375 \r\nQ 39.109375 -1.421875 33.890625 -1.421875 \r\nQ 20.796875 -1.421875 13.15625 6.1875 \r\nQ 5.515625 13.8125 5.515625 26.8125 \r\nQ 5.515625 40.234375 12.765625 48.109375 \r\nQ 20.015625 56 32.328125 56 \r\nQ 43.359375 56 49.78125 48.890625 \r\nQ 56.203125 41.796875 56.203125 29.59375 \r\nz\r\nM 47.21875 32.234375 \r\nQ 47.125 39.59375 43.09375 43.984375 \r\nQ 39.0625 48.390625 32.421875 48.390625 \r\nQ 24.90625 48.390625 20.390625 44.140625 \r\nQ 15.875 39.890625 15.1875 32.171875 \r\nz\r\n\" id=\"DejaVuSans-101\"/>\r\n      </defs>\r\n      <use xlink:href=\"#DejaVuSans-80\"/>\r\n      <use x=\"58.552734\" xlink:href=\"#DejaVuSans-114\"/>\r\n      <use x=\"97.416016\" xlink:href=\"#DejaVuSans-101\"/>\r\n      <use x=\"158.939453\" xlink:href=\"#DejaVuSans-121\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_18\">\r\n     <path d=\"M 49.603125 34.976562 \r\nL 69.603125 34.976562 \r\n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_19\"/>\r\n    <g id=\"text_17\">\r\n     <!-- Predators -->\r\n     <g transform=\"translate(77.603125 38.476562)scale(0.1 -0.1)\">\r\n      <defs>\r\n       <path d=\"M 45.40625 46.390625 \r\nL 45.40625 75.984375 \r\nL 54.390625 75.984375 \r\nL 54.390625 0 \r\nL 45.40625 0 \r\nL 45.40625 8.203125 \r\nQ 42.578125 3.328125 38.25 0.953125 \r\nQ 33.9375 -1.421875 27.875 -1.421875 \r\nQ 17.96875 -1.421875 11.734375 6.484375 \r\nQ 5.515625 14.40625 5.515625 27.296875 \r\nQ 5.515625 40.1875 11.734375 48.09375 \r\nQ 17.96875 56 27.875 56 \r\nQ 33.9375 56 38.25 53.625 \r\nQ 42.578125 51.265625 45.40625 46.390625 \r\nz\r\nM 14.796875 27.296875 \r\nQ 14.796875 17.390625 18.875 11.75 \r\nQ 22.953125 6.109375 30.078125 6.109375 \r\nQ 37.203125 6.109375 41.296875 11.75 \r\nQ 45.40625 17.390625 45.40625 27.296875 \r\nQ 45.40625 37.203125 41.296875 42.84375 \r\nQ 37.203125 48.484375 30.078125 48.484375 \r\nQ 22.953125 48.484375 18.875 42.84375 \r\nQ 14.796875 37.203125 14.796875 27.296875 \r\nz\r\n\" id=\"DejaVuSans-100\"/>\r\n       <path d=\"M 34.28125 27.484375 \r\nQ 23.390625 27.484375 19.1875 25 \r\nQ 14.984375 22.515625 14.984375 16.5 \r\nQ 14.984375 11.71875 18.140625 8.90625 \r\nQ 21.296875 6.109375 26.703125 6.109375 \r\nQ 34.1875 6.109375 38.703125 11.40625 \r\nQ 43.21875 16.703125 43.21875 25.484375 \r\nL 43.21875 27.484375 \r\nz\r\nM 52.203125 31.203125 \r\nL 52.203125 0 \r\nL 43.21875 0 \r\nL 43.21875 8.296875 \r\nQ 40.140625 3.328125 35.546875 0.953125 \r\nQ 30.953125 -1.421875 24.3125 -1.421875 \r\nQ 15.921875 -1.421875 10.953125 3.296875 \r\nQ 6 8.015625 6 15.921875 \r\nQ 6 25.140625 12.171875 29.828125 \r\nQ 18.359375 34.515625 30.609375 34.515625 \r\nL 43.21875 34.515625 \r\nL 43.21875 35.40625 \r\nQ 43.21875 41.609375 39.140625 45 \r\nQ 35.0625 48.390625 27.6875 48.390625 \r\nQ 23 48.390625 18.546875 47.265625 \r\nQ 14.109375 46.140625 10.015625 43.890625 \r\nL 10.015625 52.203125 \r\nQ 14.9375 54.109375 19.578125 55.046875 \r\nQ 24.21875 56 28.609375 56 \r\nQ 40.484375 56 46.34375 49.84375 \r\nQ 52.203125 43.703125 52.203125 31.203125 \r\nz\r\n\" id=\"DejaVuSans-97\"/>\r\n       <path d=\"M 30.609375 48.390625 \r\nQ 23.390625 48.390625 19.1875 42.75 \r\nQ 14.984375 37.109375 14.984375 27.296875 \r\nQ 14.984375 17.484375 19.15625 11.84375 \r\nQ 23.34375 6.203125 30.609375 6.203125 \r\nQ 37.796875 6.203125 41.984375 11.859375 \r\nQ 46.1875 17.53125 46.1875 27.296875 \r\nQ 46.1875 37.015625 41.984375 42.703125 \r\nQ 37.796875 48.390625 30.609375 48.390625 \r\nz\r\nM 30.609375 56 \r\nQ 42.328125 56 49.015625 48.375 \r\nQ 55.71875 40.765625 55.71875 27.296875 \r\nQ 55.71875 13.875 49.015625 6.21875 \r\nQ 42.328125 -1.421875 30.609375 -1.421875 \r\nQ 18.84375 -1.421875 12.171875 6.21875 \r\nQ 5.515625 13.875 5.515625 27.296875 \r\nQ 5.515625 40.765625 12.171875 48.375 \r\nQ 18.84375 56 30.609375 56 \r\nz\r\n\" id=\"DejaVuSans-111\"/>\r\n       <path d=\"M 44.28125 53.078125 \r\nL 44.28125 44.578125 \r\nQ 40.484375 46.53125 36.375 47.5 \r\nQ 32.28125 48.484375 27.875 48.484375 \r\nQ 21.1875 48.484375 17.84375 46.4375 \r\nQ 14.5 44.390625 14.5 40.28125 \r\nQ 14.5 37.15625 16.890625 35.375 \r\nQ 19.28125 33.59375 26.515625 31.984375 \r\nL 29.59375 31.296875 \r\nQ 39.15625 29.25 43.1875 25.515625 \r\nQ 47.21875 21.78125 47.21875 15.09375 \r\nQ 47.21875 7.46875 41.1875 3.015625 \r\nQ 35.15625 -1.421875 24.609375 -1.421875 \r\nQ 20.21875 -1.421875 15.453125 -0.5625 \r\nQ 10.6875 0.296875 5.421875 2 \r\nL 5.421875 11.28125 \r\nQ 10.40625 8.6875 15.234375 7.390625 \r\nQ 20.0625 6.109375 24.8125 6.109375 \r\nQ 31.15625 6.109375 34.5625 8.28125 \r\nQ 37.984375 10.453125 37.984375 14.40625 \r\nQ 37.984375 18.0625 35.515625 20.015625 \r\nQ 33.0625 21.96875 24.703125 23.78125 \r\nL 21.578125 24.515625 \r\nQ 13.234375 26.265625 9.515625 29.90625 \r\nQ 5.8125 33.546875 5.8125 39.890625 \r\nQ 5.8125 47.609375 11.28125 51.796875 \r\nQ 16.75 56 26.8125 56 \r\nQ 31.78125 56 36.171875 55.265625 \r\nQ 40.578125 54.546875 44.28125 53.078125 \r\nz\r\n\" id=\"DejaVuSans-115\"/>\r\n      </defs>\r\n      <use xlink:href=\"#DejaVuSans-80\"/>\r\n      <use x=\"58.552734\" xlink:href=\"#DejaVuSans-114\"/>\r\n      <use x=\"97.416016\" xlink:href=\"#DejaVuSans-101\"/>\r\n      <use x=\"158.939453\" xlink:href=\"#DejaVuSans-100\"/>\r\n      <use x=\"222.416016\" xlink:href=\"#DejaVuSans-97\"/>\r\n      <use x=\"283.695312\" xlink:href=\"#DejaVuSans-116\"/>\r\n      <use x=\"322.904297\" xlink:href=\"#DejaVuSans-111\"/>\r\n      <use x=\"384.085938\" xlink:href=\"#DejaVuSans-114\"/>\r\n      <use x=\"425.199219\" xlink:href=\"#DejaVuSans-115\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n  </g>\r\n </g>\r\n <defs>\r\n  <clipPath id=\"p6d9b758337\">\r\n   <rect height=\"217.44\" width=\"334.8\" x=\"40.603125\" y=\"7.2\"/>\r\n  </clipPath>\r\n </defs>\r\n</svg>\r\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 1152x648 with 0 Axes>"
     },
     "metadata": {}
    }
   ],
   "source": [
    "plt.figure()\n",
    "p0=plt.plot(time,y[:,0])\n",
    "p1=plt.plot(time,y[:,1])\n",
    "plt.legend([\"Prey\",\"Predators\"])\n",
    "plt.xlabel('t')\n",
    "plt.ylabel('y')\n",
    "plt.dpi=1200\n",
    "plt.figure(figsize=(16.0, 9.0)) \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5-final"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}