Dynamics of fractional-order delay differential model of prey-predator system with Holling-type III and infection among predators

被引：57

作者：

Rihan, F. A. ^{[1
]}

Rajivganthi, C. ^{[2
]}

机构：

[1] United Arab Emirats Univ, Dept Math Sci, Coll Sci, Al Ain, U Arab Emirates

[2] Getulio Vargas Fdn, Sch Appl Math, BR-22250900 Rio De Janeiro, RJ, Brazil

来源：

CHAOS SOLITONS & FRACTALS | 2020年 / 141卷

关键词：

Bifurcation; Eco-epidemiological model; Fractional-order; Prey-Predator; Stability; Time-delay;

D O I：

10.1016/j.chaos.2020.110365

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we study the dynamics of a fractional-order delay differential model of prey-predator system with Holling-type III and predator population is infected by an infectious disease. We use Laplace transform, Lyapunov functional, and stability criterion to establish new sufficient conditions that ensure the asymptotic stability of the steady states of the system. Existence of Hopf bifurcation is investigated. The model undergoes Hopf bifurcation, when the feedback time-delays passes through the critical values tau(1)* and tau(2)*. Fractional-order improves the dynamics of the model; while time-delays play a considerable influence on the creation of Hopf bifurcation and stability of the system. Some numerical simulations are provided to validate the theoretical results. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：13

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