Positive Periodic Solution of a Predator-Prey System with Stage-Structured and Cannibalism for Predator

Abstract

Some species are cannibalism and their lives can be divided into several stages. When this kind of species is predator, a Predator-prey system with ratio-dependent functional response, time delay, cannibalism and stage-structured can be formulated. For this system, the non-negativity of solution are discussed. The sufficient condition for existence of positive periodic solution is obtained by using coincidence degree theory. Some new results obtained.