Implement the model of question 4 into Excel with the initial populations of 200,000 sheep and 10,000 wolves.

Show the dynamics over time.

Look at the effect of the carrying capacity of rabbits. Suppose environmental pollution decrease the carrying capacity for the rabbits. After trying different values of K, what can you conclude is the minimum carrying capacity needed to have a population of wolves surviving in this environment?

question 4

Given is a population of wolves (W) and rabbits (R).

R[t+1] = R[t]+ g*R[t] * (1 - R[t]/K) - sR[t]W[t]

W[t+1] = (1-u)W[t] + vR[t]W[t]

Where the carrying capacity of rabbits is 1 million. The growth rate of rabbits is 10% a year and s is equal to 0.00001, v is 0.0000001, and u is equal to 0.01. How many wolves and how many rabbits exist in the equilibrium?