具有阶段结构和食人的捕食者-食饵系统的正周期解

Hui Li
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引用次数: 2

摘要

有些种类是同类相食的,它们的生活可以分为几个阶段。当这类物种为捕食者时,可以形成具有比例依赖功能反应、时滞、同类相食和阶段结构的捕食-食饵系统。讨论了该系统解的非负性。利用重合度理论,得到了周期正解存在的充分条件。获得了一些新的结果。
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Positive Periodic Solution of a Predator-Prey System with Stage-Structured and Cannibalism for Predator
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.
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