Existence, uniqueness and stability of positive periodic solution for a nonlinear prey-competition model with delays

摘要

A nonlinear periodic predator–prey model with m-preys and (n-m)-predators and delays is proposed in this paper, which can be seen as the modification of the traditional Lotka–Volterra prey–competition model. Sufficient conditions which guarantee the existence of a unique globally attractive positive periodic solution of the system are obtained.