Global stability in a periodic delayed predator–prey system

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摘要

In this paper, we establish a periodic delayed predator–prey system according to two types of single-species growth population models with delay. By using some analysis methods, easily verifiable sufficient conditions for the existence and global asymptotic stability of positive periodic solution of the above system are derived. Some previous results are generalized and improved. Biological interpretations on the main results are also given.

论文关键词:Global asymptotic stability,Periodic solution,Delay predator–prey system,Coincidence degree,Lyapunov functional

论文评审过程:Available online 11 September 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2006.07.123