Dynamics of a Discrete-Time Predator–Prey System with Holling II Functional Response

被引：0
作者：
Carlos F. Arias
Gamaliel Blé
Manuel Falconi
机构：
[1] UJAT,División Académica de Ciencias Básicas
[2] UNAM,Departamento de Matemáticas, Facultad de Ciencias
来源：
Qualitative Theory of Dynamical Systems | 2022年 / 21卷
关键词：
Neimark–Sacker bifurcation; Limit cycle; Holling II functional response; Local dynamics; Chaos;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The dynamics behavior of a discrete-time predator–prey system, with Holling II functional response, is analyzed. The model shows a rich dynamical behavior in the feasible region. Some invariant sets are found and parameter conditions for the existence and stability of the fixed points are given. A parameter region where the system exhibits either a period-doubling or a Neimark–Sacker bifurcation is shown. In addition, conditions are provided on parameters that lead to chaotic dynamics. Finally, to illustrate our theoretical analysis some numerical simulations are shown.
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