Create a table for population of prey (P) and a population of predators (Q). Use the population model presented below Difference equations:

P[t + 1] = P[t](1 + r(1 P[t]/K)) - sP[t]Q[t]

Qt + 1 = (1-u)Q[t] + vP[t]Q[t]

Let the starting values of the model parameters be: r = 1.3, k = 1, s = .5, v = 1.6, and u = .7 Let the starting population of P = 1.1 and Q = .4

Except your model should now include a term to represent the amount of prey which cannot be eaten because they are hiding in refuges represented by the term: w. Also, for the predators, add a term f representing what happens if a constant, external food source contributes to the predator population. Let w = 0.3 and let f = 0.25

How do we set up the new equations that include w and f?