Stability and dynamics of a fractional order Leslie-Gower prey-predator model

被引：81

作者：

Ghaziani, R. Khoshsiar ^{[1
]}

Alidousti, J. ^{[1
]}

Eshkaftaki, A. Bayati ^{[2
]}

机构：

[1] Shahrekord Univ, Dept Appl Math & Comp Sci, POB 115, Shahrekord, Iran

[2] Shahrekord Univ, Dept Pure Math, POB 115, Shahrekord, Iran

来源：

APPLIED MATHEMATICAL MODELLING | 2016年 / 40卷 / 03期

关键词：

Fractional prey-predator model; Stability of equilibrium; Dynamical behavior; Limit cycle; II SCHEMES;

D O I：

10.1016/j.apm.2015.09.014

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we introduce a fractional order Leslie-Gower prey-predator model, which describes interaction between two populations of prey and predator. We determine stability and dynamical behaviors of the equilibria of this system. The dynamical behaviors consist of quasi periodic and limit cycles. Further by numerical solution of the fractional system and numerical simulations, we reveal more dynamical behaviors of the model. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：2075 / 2086

页数：12

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