Question: The differential equations describe the rates of growth of two populations x and y (both measured in thousands) of species A and B, respectively. For each set:
(a) Describe in words what happens to the population of each species in the absence of the other.
(b) Describe in words how the species interact with one another. Give reasons why the populations might behave as described by the equations. Suggest species that might interact as described by the equations.
(dx/dt) = 0.01x - 0.05xy
(dy/dt) = 0.2y - 0.08xy