Get 20M+ Full-Text Papers For Less Than $1.50/day. Subscribe now for You or Your Team.

Learn More →

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

Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Mathematics and Computing Springer Journals

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

Loading next page...
 
/lp/springer-journals/dynamical-analysis-of-a-fractional-order-predator-prey-model-dZn1ZWOEI0

References (35)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Korean Society for Computational and Applied Mathematics
Subject
Mathematics; Computational Mathematics and Numerical Analysis; Appl.Mathematics/Computational Methods of Engineering; Theory of Computation; Mathematics of Computing
ISSN
1598-5865
eISSN
1865-2085
DOI
10.1007/s12190-016-1017-8
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Journal of Applied Mathematics and ComputingSpringer Journals

Published: May 26, 2016

There are no references for this article.