具有自食和阶段结构的捕食系统的周期解

Periodic Solution of a Predator-prey System with Stage-Structure and Cannibalism

一些生物的生长具有阶段性，在种群内部有自食现象，当这种生物作为捕食者，可以建立具有时滞、自食现象和阶段结构的捕食系统,讨论了这一系统解的非负性和有界性，利用重合度定理，得到了周期解存在的充分条件．

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 delay, stage-structure and cannibalism can be formulated. For this system, the non-negativity and boundedness of solution are discussed. The sufficient condition for existence of positive periodic solution is obtained by using coincidence degree theory.