The incidence interactions will depend on the size of both
populations and may be taken to be proportional to their product, and the effect will increase the rate of growth of the predator population and decrease the
rate of growth of the prey population.
Without a course in DEs, it will be hard for us to solve the pair of dierential
equations we come across, so I will help you by giving you that the equations
eventually simplify down to d2y
dt2 = Bdx
dt and d2x
dt2 =