Model 1: Let's have a whale of a time Your mum is an avid whale watcher and she is concerned about her blubbery friends. As a first year Mathematical Modelling student, you tell her that you got this! You consider the problem of the survival of the whale population and that if the number of whales falls below a minimum survival level m, the species will become extinct. You assume also that the population is limited by the carrying capacity M of the environment. You and your buddies come up with the following model for the whale population: dP a = k(M P)(P- m), at where P(t) denotes the whale population at time t and k is a positive constant. 1. Discuss the following model for the whale population by problematizing it in terms of its key parameters m, M, and Po. 2. Solve your model above assuming that m