lotka-volterra-migration-phase

lotka-volterra-migration-phase

by belyakov_am

HTML

<script src="https://cdnjs.cloudflare.com/ajax/libs/jsxgraph/0.99.7/jsxgraphcore.js"></script>
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/jsxgraph/0.99.7/jsxgraph.css">
<div id='jxgbox-mp' class='jxgbox' style='width:600px; height:600px;'></div>

JavaScript

board_mp = JXG.JSXGraph.initBoard('jxgbox-mp', {boundingbox: [-4, 42.5, 42.5, -3.5], axis: true, grid: false, showCopyright: false});

alpha_slider_mp = board_mp.createElement('slider', [[3.0, 40.5], [8.0, 40.5], [0.0, 0.44, 1.0]],{name:'&alpha;',strokeColor:'black',fillColor:'black'});
alpha_text_mp = board_mp.createElement('text', [5, 39.5, "alpha"], {fixed:true});

beta_slider_mp = board_mp.createElement('slider', [[13.0, 40.5], [18.0, 40.5], [0.0, 0.19, 1.0]],{name:'&beta;',strokeColor:'black',fillColor:'black'});
beta_text_mp = board_mp.createElement('text', [13, 39.5, "beta"], {fixed:true});

gamma_slider_mp = board_mp.createElement('slider', [[23.0, 40.5], [28.0, 40.5], [0.0, 0.88, 1.0]],{name:'&gamma;',strokeColor:'black',fillColor:'black'});
gamma_text_mp = board_mp.createElement('text', [23, 39.5, "gamma"], {fixed:true});

delta_slider_mp = board_mp.createElement('slider', [[33.0, 40.5], [38.0, 40.5], [0.0, 0.12, 1.0]],{name:'&delta;',strokeColor:'black',fillColor:'black'});
delta_text_mp = board_mp.createElement('text', [33, 39.5, "delta"], {fixed:true});

c_slider_mp = board_mp.createElement('slider', [[3.0, 36.3], [18.0, 36.3], [0.0, 0.05, 1.0]],{name:'c',strokeColor:'black',fillColor:'black'});
c_text_mp = board_mp.createElement('text', [3, 35.3, "c"], {fixed:true});

d_slider_mp = board_mp.createElement('slider', [[23.0, 36.3], [38.0, 36.3], [0.0, 0.0, 1.0]],{name:'d',strokeColor:'black',fillColor:'black'});
d_text_mp = board_mp.createElement('text', [23, 35.3, "d"], {fixed:true});

prey_0_mp = board_mp.createElement('glider', [10, 0, board_mp.defaultAxes.x], {name:'Preys',strokeColor:'blue',fillColor:'blue'});
pred_0_mp = board_mp.createElement('glider', [0, 5, board_mp.defaultAxes.y], {name:'Predators',strokeColor:'red',fillColor:'red'});


var draw_data_mp = null;


function solve_ode(x0, I, N, f) {
  var data = [x0];
  var dt = (I[1] - I[0]) / N;
  for (let i = 1; i < N; ++i) {
    var dx_dt = data[i - 1][0] + dt * f(0, data[i - 1])[0];
    var...