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首页> 外文期刊>Mathematical Problems in Engineering: Theory, Methods and Applications >Hopf Bifurcation and Hybrid Control of a Delayed Ecoepidemiological Model with Nonlinear Incidence Rate and Holling Type II Functional Response
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Hopf Bifurcation and Hybrid Control of a Delayed Ecoepidemiological Model with Nonlinear Incidence Rate and Holling Type II Functional Response

机译:一类具有非线性发生率和Holling II型功能性反应的时滞流行病学模型的Hopf分岔和混合控制

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摘要

Hopf bifurcation analysis of a delayed ecoepidemiological model with nonlinear incidence rate and Holling type II functional response is investigated. By analyzing the corresponding characteristic equations, the conditions for the stability and existence of Hopf bifurcation for the system are obtained. In addition, a hybrid control strategy is proposed to postpone the onset of an inherent bifurcation of the system. By utilizing normal form method and center manifold theorem, the explicit formulas that determine the direction of Hopf bifurcation and the stability of bifurcating period solutions of the controlled system are derived. Finally, some numerical simulation examples confirm that the hybrid controller is efficient in controlling Hopf bifurcation.
机译:研究了具有非线性发生率和Holling II型功能性反应的时滞生态流行病学模型的Hopf分叉分析。通过分析相应的特征方程,得到系统的Hopf分支的稳定性和存在性的条件。另外,提出了一种混合控制策略来推迟系统固有分叉的开始。利用范式和中心流形定理,推导了确定Hopf分叉方向和受控系统分叉周期解的稳定性的显式。最后,一些数值仿真实例证实了混合控制器在控制Hopf分叉方面是有效的。

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