Permanence of a Delayed Ratio-dependent Predator-prey Model with Prey Dispersal

摘要

A periodic and delayed ratio-dependent predator-prey system with prey dispersal and stage structure for predator is investigated. It is assumed that immature individual and mature individual of the predator species are divided by a fixed age, and that immature predator do not have the ability to attack prey,and that predator species is confined to one of the patches while the prey species can disperse between two patches. We discuss the uniform persistence and extinction of adult predator of the model, sufficient conditions are derived for the permanence of the model.