Question: Please solve with Matlab using ODE solver using k3=0.00004 and tfinal = 800 days There are initially 500 rabbits (x) and 200 foxes (y) on

Please solve with Matlab using ODE solver using k3=0.00004 and tfinal = 800 days

Please solve with Matlab using ODE solver using k3=0.00004 and tfinal =

There are initially 500 rabbits (x) and 200 foxes (y) on Farmer Oat's property near Ria, Jofostan. Use Polymath or MATLAB to plot the concentration of foxes and rabbits as a function of time for a period of up to 500 days. The predator-prey relationships are given by the following set of coupled ordinary differential equations: dtdx=k1xk2xydtdy=k3xyk4y Constant for growth of rabbits k1=0.02 day 1 Constant for death of rabbits k2=0.00004/( day no. of foxes) Constant for growth of foxes after eating rabbits k3=0.0004/( day no. of rabbits) Constant for death of foxes k4=0.04day1 What do your results look like for the case of k3=0.00004/( day no. of rabbits) and tfinal=800 days? Also, plot the number of foxes versus the number of rabbits. Explain why the curves look the way they do. Polymath Tutorial (https://www.youtube.com/watch?v=nyJmt6cTiL4)

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