STABILITY, BIFURCATION, AND CHAOS CONTROL OF PREDATOR-PREY SYSTEM WITH ADDITIVE ALLEE EFFECT

被引：4

作者：

Ahmed, R. ^{[1
]}

Akhtar, S. ^{[2
]}

Farooq, U. ^{[2
]}

Ali, S. ^{[2
]}

机构：

[1] Air Univ Islamabad, Dept Math, Multan, Pakistan

[2] Islamia Univ Bahawalpur, Dept Math, Bahawalpur, Pakistan

来源：

COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2023年

关键词：

predator-prey; Allee effect; stability; bifurcation; hybrid control; MODEL;

D O I：

10.28919/cmbn/7824

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页数：25

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