Question: Use MATLAB to solve The common Predator Prey model is found in Problem 1-6 on page 29. It is an excellent opportunity for you to
Use MATLAB to solve

The common "Predator Prey" model is found in Problem 1-6 on page 29. It is an excellent opportunity for you to apply the Matlab ODE solvers that we will use throughout the semester. Use k3=0.00004 and tfinal =800 days. P1-6B (a) 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=0.02day1 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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