Existence and global stability of positive periodic solutions of a predator–prey system with delays

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摘要

This paper studies the existence, global stability and uniform persistence of positive periodic solutions of a periodic predator–prey system with Holling type III functional response. By using the continuation theorem of coincidence degree theory and Liapunov functional, some sufficient conditions are obtained.

论文关键词:Positive solution,Global stability,Uniform persistence,Predator–prey system,Mawhin’s continuous theorem

论文评审过程:Available online 29 January 2003.

论文官网地址:https://doi.org/10.1016/S0096-3003(02)00534-9