Please give the full working maple code for question 23! Thank you

22, MAT331 Exercises, Spring2024 set number 6 (expires 3/29) In this problem will siudy the Lotke-Volterra predator-prey equations. In a very simple ecosystem there are two populations, whose numbers at a time (with 1 in, say, years) are given by f(r) (foxes) and r(1) (rabbits). The evolution of these quantities obeys the system fU) = Gy fIN+E fne(n), Fith = Gerlt) - E fle) rin); where G and G, are the growth rates for the foxes and the rabbits. respectively. in the absence of each other. E is the probability of a fatal encounter between a fox and a rabbit (normalized per number of foxes and rabbits). First, write some words to explain why these equations make sense. Then, fix Gy = 0.4, G, =24 (it's motorius that rabbits have the tendency to reproduce quickly) and = 0.01. For a few initial conditions of your choice, plot the trajectories in the {f.r)-plane (say, with 0 = f