鞍结分岔
跨临界分岔
分叉理论的生物学应用
倍周期分岔
博格达诺夫-塔肯分岔
干草叉分叉
无限周期分岔
分岔图
数学
分叉
分岔理论
同宿分支
数学分析
控制理论(社会学)
应用数学
非线性系统
物理
计算机科学
量子力学
人工智能
控制(管理)
作者
Anuraj Singh,Vijay Shankar Sharma
标识
DOI:10.1142/s1793524522501091
摘要
This work investigates the bifurcation analysis in a discrete-time Leslie–Gower predator–prey model with constant yield predator harvesting. The stability analysis for the fixed points of the discretized model is shown briefly. In this study, the model undergoes codimension-1 bifurcation such as fold bifurcation (limit point), flip bifurcation (period-doubling) and Neimark–Sacker bifurcation at a positive fixed point. Further, the model exhibits codimension-2 bifurcations, including Bogdanov–Takens bifurcation and generalized flip bifurcation at the fixed point. For each bifurcation, by using the critical normal form coefficient method, various critical states are calculated. To validate our analytical findings, the bifurcation curves of fixed points are drawn by using MATCONTM. The system exhibits interesting rich dynamics including limit cycles and chaos. Moreover, it has been shown that the predator harvesting may control the chaos in the system.
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