Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge

被引：295

作者：

Li, Hong-Li ^{[1
]}

Zhang, Long ^{[1
]}

Hu, Cheng ^{[1
]}

Jiang, Yao-Lin ^{[1
,2
]}

Teng, Zhidong ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

[2] Xi An Jiao Tong Univ, Dept Math, Xian 710049, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2017年 / 54卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Global asymptotic stability; Fractional-order; Predator-prey model; Prey refuge; STABILITY; SYSTEMS; BIFURCATION;

D O I：

10.1007/s12190-016-1017-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a fractional-order predator-prey model incorporating a prey refuge is proposed. We first prove the existence, uniqueness, non-negativity and boundedness of the solutions for the considered model. Moreover, we also analyze the existence of various equilibrium points, and some sufficient conditions are derived to ensure the global asymptotic stability of the predator-extinction equilibrium point and coexistence equilibrium point. Finally, some numerical simulations are carried out for illustrating the analytic results.

引用

页码：435 / 449

页数：15

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