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Global stability of a delayed diffusive predator–prey model with prey harvesting of Michaelis–Menten type
Applied Mathematics Letters ( IF 3.7 ) Pub Date : 2020-11-23 , DOI: 10.1016/j.aml.2020.106904
Xiang-Ping Yan , Cun-Hua Zhang

This paper considers a modified Leslie–Gower delayed reaction–diffusion predator–prey model with prey harvesting of Michaelis–Menten type and subject to homogeneous Neumann boundary condition. The global asymptotic stability of the positive constant steady state of the model is analyzed further and an existing global stability result is improved.



中文翻译:

具有Michaelis–Menten型猎物收获的时滞扩散捕食者-食饵模型的全局稳定性

本文考虑了修正的Leslie-Gower延迟反应-扩散捕食者-捕食者模型,该模型具有Michaelis-Menten类型的猎物收获,并且服从均匀Neumann边界条件。进一步分析了模型的正恒定稳态的全局渐近稳定性,并改进了现有的全局稳定性结果。

更新日期:2020-11-27
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