Consider a predatorprey relationship with x prey and y predators at time t. Assume both predator and prey are present. Then the rates of change of the two populations can be modeled by the following revised predator-prey system of differential equations.
frac{d x}{d t}=a xleft(1-frac{x}{L}right)-b x y quad Rate of change of prey population
frac{d y}{d t}=-m y+n x y quad Rate of change of predator population
If there are no predators, the prey population will grow according to what model?