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

被引：5
|
作者：
Hong-Li Li
Long Zhang
Cheng Hu
Yao-Lin Jiang
Zhidong Teng
机构：
[1] Xinjiang University,College of Mathematics and System Sciences
[2] Xi’an Jiaotong University,Department of Mathematics
来源：
Journal of Applied Mathematics and Computing | 2017年 / 54卷
关键词：
Global asymptotic stability; Fractional-order; Predator-prey model; Prey refuge; 34A08; 34D23; 92D25;
D O I：
暂无
中图分类号：
学科分类号：
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
收藏
页码：435 / 449
页数：14
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