Periodic solution of a delayed predator–prey system with Michaelis–Menten type functional response

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摘要

By using the continuation theorem base on Gaines and Mawhin's coincidence degree, sufficient and realistic conditions are obtained for the global existence of positive periodic solution for a delayed predator–prey system with Michaelis–Menten type functional response. Indeed, our results are applicable to state-dependent delays.

论文关键词:34K15,92D25,34C25,Predator–prey system,Positive periodic solution,Coincidence degree

论文评审过程:Received 12 September 2002, Revised 4 August 2003, Available online 27 November 2003.

论文官网地址:https://doi.org/10.1016/j.cam.2003.08.042