具有加性Allee效应的捕食-食饵系统的稳定性、分岔及混沌控制

IF 0.5 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS

Communications in Mathematical Biology and Neuroscience Pub Date : 2023-01-01 DOI:10.28919/cmbn/7824

R. Ahmed, S. Akhtar, U. Farooq, S. Ali

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引用次数: 2

摘要

．本文主要研究具有加性Allee效应的离散时间捕食者-食饵系统的动力学问题。离散化是通过使用微分方程的分段常参数方法来完成的。首先，我们研究了平衡点的存在性和拓扑分类。然后研究了系统中周期加倍分岔和neimmark - sacker分岔的存在性和方向。此外，为了控制分岔引起的混沌，我们采用了混合控制技术。最后，对所有理论结果进行了数值验证

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Stability, bifurcation, and chaos control of predator-prey system with additive Allee effect

. The current investigation focuses on the dynamics of a discrete-time predator-prey system with additive Allee effect. Discretization is accomplished by the use of a piecewise constant argument approach of differential equations. Firstly, we studied the existence and topological classiﬁcation of equilibrium points. We then investigated existence and direction of period-doubling and Neimark-Sacker bifurcations in the system. Moreover, to control the chaos caused by bifurcation, we employ a hybrid control technique. Finally, all theoretical results are justiﬁed numerically

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来源期刊

Communications in Mathematical Biology and Neuroscience COMPUTER SCIENCE, INFORMATION SYSTEMS-

CiteScore

2.10

自引率

15.40%

发文量

期刊介绍： Communications in Mathematical Biology and Neuroscience (CMBN) is a peer-reviewed open access international journal, which is aimed to provide a publication forum for important research in all aspects of mathematical biology and neuroscience. This journal will accept high quality articles containing original research results and survey articles of exceptional merit.