Chapter 4, Problem 22PP

In a predator-prey simulation, you compute the populations of predators and prey, using the following equations:

$pre{y}_n{}_{+1}=pre{y}_n\times \left(1+4-A-B\times pre{d}_n\right)$

$pre{d}_{n+1}=pre{d}_n\times \left(1-C+D\times pre{y}_n\right)$

Here, A is the rate at which prey birth exceeds natural death, B is the rate of predation, C is the rate at which predator deaths exceed births without food, and D represents predator increase in the presence of food.

Write a program that prompts users for these rates, the initial population sizes, and the number of periods. Then print the populations for the given number of periods. As inputs, try A = 0.1, B = C = 0.01, and D = 0.00002 with initial prey and predator populations of 1,000 and 20.