离散时间生态遗传捕食者-被捕食模型的动力学

Q2 Mathematics

Communication in Biomathematical Sciences Pub Date : 2023-01-19 DOI:10.5614/cbms.2022.5.2.5

D. Mukherjee

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引用次数: 1

摘要

本文考虑了一个离散时间模型的两个遗传区分捕食者群体和一个猎物群体。研究了边界和正不动点的存在性和性质。导出了Neimark-Sacker分岔（NSB）的充分判据。观察到，当选择一组特定的系统参数时，系统表现为混沌，这些参数由混合控制方法控制。举例说明我们的结论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Dynamics of A Discrete-Time Ecogenetic Predator-Prey Model

This article considers a discrete-time model of two genetically distinguished predator population and one prey population. The existence and nature of the boundary and positive fixed points are examined. The sufficient criterion for Neimark-Sacker bifurcation (NSB) is derived. It is observed that the system behaves in a chaotic way when a specific set of system parameters is selected, which are controlled by a hybrid control method. Examples are presented to illustrate our conclusions.

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来源期刊

Communication in Biomathematical Sciences Biochemistry, Genetics and Molecular Biology-Biochemistry, Genetics and Molecular Biology (miscellaneous)

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

24 weeks