Dynamics of discrete predator- prey system with fear effect and density dependent birth rate of the prey species

IF 0.4 Q4 MATHEMATICS, APPLIED Mathematics in applied sciences and engineering Pub Date : 2022-02-06 DOI:10.5206/mase/14496
D. Mukherjee
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Abstract

This paper analyses a discrete predator-prey system with fear effect and density dependent birth rate of the prey species. The fixed points of the system are determined and their stability is examined. The criterion for Neimark-Sacker bifurcation and flip bifurcation is developed. The chaotic orbit at an unstable fixed point can be stabilized by applying the state feedback control method. Numerically, we illustrate our analytical findings and observe the complex behaviour of the system that leads to stable state to chaotic one.
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具有恐惧效应的离散捕食-食饵系统动力学和密度依赖的食饵物种出生率
本文分析了一个具有恐惧效应和密度依赖的离散捕食系统。确定了系统的不动点,并对其稳定性进行了检验。建立了Neimark-Sacker分岔和翻转分岔的判据。应用状态反馈控制方法可以稳定不稳定不动点的混沌轨道。从数字上讲,我们说明了我们的分析结果,并观察了系统的复杂行为,该行为导致稳定状态变为混沌状态。
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来源期刊
CiteScore
1.40
自引率
0.00%
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0
审稿时长
21 weeks
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