Asymptotic Behavior of the Fractional Order three Species Prey-Predator Model

被引：22

作者：

Sambath, M. ^{[1
]}

Ramesh, P. ^{[1
]}

Balachandran, K. ^{[2
]}

机构：

[1] Periyar Univ, Dept Math, Salem 636011, India

[2] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2018年 / 19卷 / 7-8期

关键词：

boundedness; existence and uniqueness; fractional dynamical system; stability; prey-predator model;

D O I：

10.1515/ijnsns-2017-0273

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this work, we introduce fractional order predator-prey model with infected predator. First, we prove different mathematical results like existence, uniqueness, non-negativity and boundedness of the solutions of fractional order dynamical system. Further, we investigate the local and global stability of all feasible equilibrium points of the system. Numerical results are illustrated as several examples.

引用

页码：721 / 733

页数：13

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