Asymptotic behavior of solutions in nonautonomous predator–prey patchy system with beddington-type functional response

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摘要

In this paper, we study the asymptotic behavior of solutions in nonautonomous predator–prey patchy system with Beddington-type functional response. It is proved that the system is permanent under some appropriate conditions. Furthermore, if the system is a(n) (almost) periodic one, a set of easily verifiable sufficient conditions which guarantee the existence, uniqueness and global asymptotic stability of a positive (almost) periodic solutions of system are obtained.

论文关键词:Predator–prey systems,Permanence,Diffusion,Almost periodic solutions,Coincidence degree

论文评审过程:Available online 1 April 2005.

论文官网地址:https://doi.org/10.1016/j.amc.2005.01.129