具有Holling-Ⅲ功能反应和脉冲效应的捕食者食饵系统的持续生存与周期性
Persistence and Periodicity of a Predator-Prey System with Holling-Ⅲ Functional Response and Impulsive Effect
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摘要: 提出了具有脉冲效应和Holling-Ⅲ类功能反应的比率依赖的捕食者一食饵模型,利用李雅普诺夫泛函和比较方法给出了系统持续生存条件,运用分支理论研究了正周期解的存在性.Abstract: In the paper, a ratio-dependent predator-prey system with Holling-Ⅲ functional response and impulsive effect is considered. Conditions for permanence are established via the method of comparison involving multiple Lya-punov functions. The existence of a positive periodic solution is also studied using the bifurcation theory.
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