Bifurcation and Stability Analysis of a Discrete Predator-Prey Model with Alternative Prey

被引：0

作者：

Lei, Ceyu ^{[1
]}

Han, Xiaoling ^{[1
]}

Wang, Weiming ^{[2
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

[2] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Discrete model; Bifurcation; Periodic structure; Chaos; CHAOS CONTROL; SYSTEM; DYNAMICS;

D O I：

10.1007/s12346-024-01092-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the dynamics of a class of discrete predator-prey model with alternative prey. We prove the boundedness of the solution, the existence and local/global stability of equilibrium points of the model, and verify the existence of flip bifurcation and Neimark-Sacker bifurcation. In addition, we use the maximum Lyapunov exponent and isoperimetric diagrams to verify the existence of periodic structures namely Arnold tongue and the shrimp-shaped structures in bi-parameter spaces of a class of predator-prey model.

引用

页数：33

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