Chaos and Bistabilities in a Food-Chain Model with Allee Effect and Additional Food

Nikhilesh Sil, Sudip Samanta
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引用次数: 1

Abstract

In this research article, a three-species food chain model with Allee effect and additional food is proposed and analyzed. The Allee effect and additional food are introduced to the top predator population. The dynamical behavior of the system is studied analytically and numerically. We have performed equilibrium analysis and local stability analysis around the non-negative equilibria. We have also explored different bifurcations in the system. We have drawn several one- and two-parameter bifurcation diagrams to explore complex dynamical behaviors. We observe that top predator goes to extinction when Allee parameter crosses a threshold value, whereas additional food enhances the stability and persistence of the system.
具有Allee效应和附加食物的食物链模型的混沌和双稳定性
本文提出并分析了具有Allee效应和附加食物的三物种食物链模型。Allee效应和额外的食物被引入到顶级捕食者群体中。对系统的动力学行为进行了分析和数值研究。我们围绕非负平衡进行了平衡分析和局部稳定性分析。我们还探讨了系统中的不同分支。我们已经绘制了几个单参数和双参数分岔图来探索复杂的动力学行为。我们观察到,当Allee参数超过一个阈值时,顶级捕食者走向灭绝,而额外的食物增强了系统的稳定性和持久性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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