Unveiling Complexity: A Discrete-Time Prey–Predator Model with Immigration Effects

IF 1.4 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES
Halima Benali, Karima Mokni, Hajar Mouhsine, Mohamed Ch-Chaoui
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引用次数: 0

Abstract

This paper explores the qualitative dynamics of a discrete-time prey–predator model incorporating immigration effects. In this model, immigration is assumed to affect only a fraction of both prey and predator populations. We systematically analyze the equilibrium points of the system and assess their stability. Through the application of bifurcation theory, we demonstrate that the system undergoes a Neimark–Sacker bifurcation, leading to complex dynamical behavior. To address the emergence of chaos, a hybrid control strategy is implemented to stabilize the system. Numerical simulations reveal that immigration can intensify the system’s complex dynamics, suggesting that even small levels of immigration can have a profound impact on the behavior of prey–predator interactions.

揭示复杂性:一个具有移民效应的离散时间猎物-捕食者模型
本文探讨了包含移民效应的离散时间捕食-捕食模型的定性动力学。在这个模型中,移民被认为只影响猎物和捕食者的一小部分。系统地分析了系统的平衡点,并对其稳定性进行了评价。通过分岔理论的应用,我们证明了系统会发生neimmark - sacker分岔,从而导致复杂的动力学行为。为了解决混沌的出现,采用了混合控制策略来稳定系统。数值模拟表明,移民可以加强系统的复杂动态,这表明即使是很小的移民水平也会对捕食者相互作用的行为产生深远的影响。
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来源期刊
CiteScore
4.00
自引率
5.90%
发文量
122
审稿时长
>12 weeks
期刊介绍: The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences
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