# [1] 4: Plot the population of snakes and hawks for t [0.100] if there are at t = 0 a total of R(0) = 100000 rats, H(0) = 600 hawks and S(0) = 700…

[1] 4: Plot the population of snakes and hawks for t [0..100] if there are at t = 0 a total of R(0) = 100000 rats, H(0) = 600 hawks and S(0) = 700 snakes. [2] 5: Suppose instead that at time t = 0 there are a total of R(0) = 10000 rats, H(0) = 800 hawks and S(0) = 10 snakes. Do the snakes go extinct? In which month? [2] 6: A new disease kills the hawks at a rate of 60 Hawks per month. Modify your model to determine the population of hawks if there are at time t = 0 a total of R(0) = 100000 rats, H(0) = 600 hawks and S(0) = 700 snakes. Do the hawks go extinct over a period of 20 months? 7: Plot the populations of hawks and snakes in this model. [2] 8: What happens to the snake population as the hawk population decrease? Are the snakes and hawks competitors?