Task 1: Enhanced Lotka-Volterra (50 pts) The predator-prey model is a pair of differential equations involving a pair of competing populations, y?(t) and y2(t). The growth rate for y? is a linear function of va and vice versa y2 We are using notation y?(t) and y2(t) instead of, say, r(t) for rabbits and f(t) for foxes, because our MATLAB program uses a two-component vector y. The extra minus sign in the second equation distinguishes the predators from the prey. Note that if yi ever becomes zero, then 600 500 300 200 10 0 0 5 10 15 20