Write a program in Maple that solves the recurrence equations given for K[n] and R[n] numerically. Assume that if the recurrence equations return less than half a rabbit or fox, K[n] ≤ 0.5, respectively R[n] ≤ 0.5, at a time n, this means that the rabbits or foxes go extinct. Check that your program reproduces the equilibrium-solution if you start with the initial values K0 = Ke and R0 = Re.