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 sufficien...

Full description

Saved in:
Bibliographic Details
Published in:Journal of applied mathematics & computing 2017-06, Vol.54 (1-2), p.435-449
Main Authors: Li, Hong-Li, Zhang, Long, Hu, Cheng, Jiang, Yao-Lin, Teng, Zhidong
Format: Article
Language:English
Subjects:
Applied mathematics
Asymptotic methods
Computational Mathematics and Numerical Analysis
Computer simulation
Equilibrium
Extinction
Mathematical analysis
Mathematical and Computational Engineering
Mathematical models
Mathematics
Mathematics and Statistics
Mathematics of Computing
Original Research
Predator-prey simulation
Simulation
Theory of Computation
Uniqueness
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-016-1017-8