I ONLY NEED HELP WITH PART C

P1-3 This problem focuses on using Polymath, an ordinary differential equation (ODE) solver, and also a non- linear equation (NLE) solver. These equation solvers will be used extensively in later chapters. Information on how to obtain and load the Polymath Software is given in Appendix D and on the CRE Web site. (a) Professor Sven Kttlov has a son-in-law, tpn Dole, who has a farm near Ria. Jofostan where there are initially 500 rabbits (x) and 200 foxes (y). 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: dx = kx - kzxy dt up mom dy = kx.y - kay dt Constant for growth of rabbits k, = 0.02 day! Constant for death of rabbits k, = 0.00004/(day x no. of foxes) -1 Constant for growth of foxes after eating rabbits ks = 0.0004/(day x no. of rabbits) Constant for death of foxes k = 0.04 day! What de vuels look like for the case of ks = 0.00004/(day x no. of rabbi ay number of foxes the number of rabbits the **Wowor what nenameters would you 400m cause this shape change to cal! (c) We will now consider the situation in which the rabbits contracted a deadly virus also called rabbit measles (measlii). The death rate is 'Death = kyx with kp = 0.005 day! Now plot the fox and rabbit concentrations as a function of time and also plot the foxes versus rabbits. Describe, if possible, the minimum growth rate at which the death rate does not contribute to the net decrease in the total rabbit population