Analysis of a Nonautonomous Delayed Predator-Prey System with a Stage Structure for the Predator in a Polluted Environment

Abstract EN

A two-species nonautonomous Lotka-Volterra type model with diffusional migration among the immature predator population, constant delay among the matured predators, and toxicant effect on the immature predators in a nonprotective patch is proposed.

The scale of the protective zone among the immature predator population can be regulated through diffusive coefficients Di(t), i=1,2.

It is proved that this system is uniformly persistent (permanence) under appropriate conditions.

Sufficient conditions are derived to confirm that if this system admits a positive periodic solution, then it is globally asymptotically stable.