Stochastic Bifurcations and Multistage Order-Chaos Transitions in a 4D Eco-Epidemiological Model

L. Ryashko, T. Perevalova, I. Bashkirtseva
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Abstract

A tritrophic “prey-intermediate predator-top predator” population system with disease in the intermediate predator is considered. For this 4D-model, the bifurcation analysis is performed. In this analysis, the rate of the disease transmission is used as a bifurcation parameter. A variety of mono-, bi- and tri-stable behaviors with regular and chaotic attractors are analyzed. It is shown how random disturbances of the bifurcation parameter cause multistage stochastic transformations, noise-induced excitement, and stochastic transitions from order to chaos and reversely. These noise-induced effects are studied in terms of stochastic P- and D-bifurcations.
四维生态流行病学模型的随机分岔和多阶段有序-混沌过渡
研究了一种中间捕食者患病的“捕食者-中间捕食者-顶部捕食者”三营养型种群系统。对该4d模型进行了分岔分析。在此分析中,疾病传播率被用作分岔参数。分析了具有规则吸引子和混沌吸引子的各种单稳定、双稳定和三稳定行为。研究了分岔参数的随机扰动如何引起多阶段随机变换、噪声激发以及有序到混沌和反向的随机转换。这些噪声引起的影响在随机P和d分岔方面进行了研究。
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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