Stability analysis of a fractional-order predator-prey model incorporating a constant prey refuge and feedback control

被引：19

作者：

Li, Hong-Li ^{[1
]}

Muhammadhaji, Ahmadjan ^{[1
]}

Zhang, Long ^{[1
]}

Teng, Zhidong ^{[1
]}

机构：

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

关键词：

Stability; Fractional-order; Predator-prey model; Prey refuge; Feedback control; GLOBAL STABILITY; SYNCHRONIZATION; SYSTEM;

D O I：

10.1186/s13662-018-1776-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a kind of fractional-order predator-prey (FOPP) model with a constant prey refuge and feedback control is considered. By analyzing characteristic equations, we carry out detailed discussion with respect to stability of equilibrium points of the considered FOPP model. Besides, the effects of prey refuge and feedback control are also studied by numerical analysis. Our study reveals that prey refuge and feedback control can be used to adjust the biomass of prey species and predator species such that prey species and predator species finally reach a better state level.

引用

页数：12

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