Strong resonance bifurcations for a discrete-time prey–predator model

被引：0
|
作者：
Bo Li
Zohreh Eskandari
Zakieh Avazzadeh
机构：
[1] Nanjing University,Business School
[2] Anhui University of Finance and Economics,School of Finance
[3] Fasa University,Department of Mathematics, Faculty of Science
[4] University of South Africa,Department of Mathematical Sciences
来源：
Journal of Applied Mathematics and Computing | 2023年 / 69卷
关键词：
Prey–predator model; Numerical continuation method; Neimark-Sacker bifurcation; Strong resonance; Two-dimensional bifurcation diagram; 37M20; 37N25; 39A28;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is to introduce a two-dimensional discrete-time prey–predator, identify its fixed points, as well as investigate one- and two-parameter bifurcations. Numerical normal forms are used in bifurcation analysis. For this model, the Neimark-Sacker, period doubling and strong resonance bifurcations are observed. Based on the critical coefficients, the bifurcation scenarios can be identified. Based on numerical continuation methods, we use the MATLAB package MatContM to verify the analytical results and observe complex dynamics up to 16- iterate.
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页码：2421 / 2438
页数：17
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