Matlab please

Problem 10: The Predator-Prey Model The predator-prey model is a system of nonlinear differential equations that is often used to model the dynamics of biological systems in which two species, one predator and one prey, interact. In this problem we will assume that coyotes are the predators and rabbits are the prey. If the state variable r represents the number of rabbits and the state variable c represents the number of coyotes, then the population dynamics can be written as r ar - Brc = -7c+ drc. . In the model the rate of change for the rabbit population is the growth rate of rabbits, represented by the term ax plus the predation rate which is assumed to be proportional to the rate at which the predators and prey interact, in this case the predation rate is represented by the term - Brc. The growth rate serves to increase the rabbit population while the predation rate serves to decrease the rabbit population. The rate of change for the fox population is the intrinsic death rate of foxes, represented by yc plus the predator growth rate constrained by the prey population, represented by the term drc. It is assumed that the prey has essentially unlimited food, so it's growth is not constrained by availability of food. 1. Use the parameters a = 1.1, B = 0.04, y = 0.4, and S = 0.01. Determine the equilibrium points of the system. Hint: There are two equilibrium points. 2. Categorize each of the equilibrium points. 3. Construct phase plane plots using Adams-Bashforth-4 integration method (remember to ini- tialize the integrator using the smaller step Adams-Bashforth integrators). Fix the initial rabbit population to r(0) = 100, and vary the initial coyote population from ten percent of the initial rabbit population to one-hundred-and-fifty percent of the initial rabbit population. 4. Interpret your results from part (C)