Multiple bifurcations of a discrete modified Leslie-Gower predator-prey model.
Multiple bifurcations of a discrete modified Leslie-Gower predator-prey model.
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DOI：
10.3934/mbe.2023904
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发表时间：
2023-11
期刊：
影响因子：
--
通讯作者：
Yajie Sun;Ming Zhao;Yunfei Du
中科院分区：
文献类型：
--
作者：
Yajie Sun;Ming Zhao;Yunfei Du
In this paper, we work on the discrete modified Leslie type predator-prey model with Holling type II functional response. The existence and local stability of the fixed points of this system are studied. According to bifurcation theory and normal forms, we investigate the codimension 1 and 2 bifurcations of positive fixed points, including the fold, 1:1 strong resonance, fold-flip and 1:2 strong resonance bifurcations. In particular, the discussion of discrete codimension 2 bifurcation is rare and difficult. Our work can be seen as an attempt to complement existing research on this topic. In addition, numerical analysis is used to demonstrate the correctness of the theoretical results. Our analysis of this discrete system revealed quite different dynamical behaviors than the continuous one.
