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Hopf bifurcation and global stability of a delayed predator-prey model with prey harvesting

机译:一类具有捕食者的时滞捕食者-食饵模型的Hopf分岔和全局稳定性。

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摘要

In this paper, we consider a delayed prey-predator model with modified Leslie-Gower term and Michaelis-Menten type prey harvesting. Regarding time delay as a bifurcation parameter, and using the normal form and center manifold theorem of functional differential equations and partial differential equations, we obtain the existence, stability and direction of periodic solutions of functional differential equations and partial differential equations, respectively. Numerical simulations are carried out to depict our theoretical analysis.
机译:在本文中,我们考虑了具有修正的莱斯利-高尔(Leslie-Gower)项和迈克尔利斯-门腾(Michaelis-Menten)型猎物收获的延迟捕食者模型。将时滞作为分叉参数,并利用泛函微分方程和偏微分方程的正则形式和中心流形定理,分别获得了泛函微分方程和局部微分方程周期解的存在性,稳定性和方向。进行数值模拟以描述我们的理论分析。

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