Bifurcations and chaos control in a discrete-time prey-predator model with Holling type-II functional response and prey refuge

被引：41

作者：

Singh, Anuraj ^{[1
]}

Sharma, Vijay Shankar ^{[1
]}

机构：

[1] Indian Inst Informat Technol & Management, ABV, Gwalior, MP, India

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 418卷

关键词：

Flip bifurcation; Neimark-Sacker bifurcation; Feedback control; Hybrid control; DYNAMICS; SYSTEM; COMPLEXITY; BEHAVIOR; ORDER;

D O I：

10.1016/j.cam.2022.114666

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the complex dynamical behavior in a discrete prey-predator model with Holling type II functional response with prey refuge. It is exhibited that the system shows different types of bifurcations viz. flip bifurcation, transcritical bifurcation and Neimark-Sacker bifurcation(NSB) by using center manifold theorem and bifurcation theory. Moreover, the chaos occurred in the system has been controlled by deploying control strategies viz. state feedback, pole placement and hybrid control techniques. The certain conditions have been determined under which chaos and bifurcation can be stabilized. The extensive numerical simulation is performed to demonstrate the analytical findings.(C) 2022 Elsevier B.V. All rights reserved.

引用

页数：21

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