ON THE PERIODICITY AND GLOBAL STABILITY FOR A DISCRETE DELAYED PREDATOR–PREY MODEL-Reference-Cited by-同舟云学术

ON THE PERIODICITY AND GLOBAL STABILITY FOR A DISCRETE DELAYED PREDATOR–PREY MODEL

Published:2013-09 Issue:10 Volume:24 Page:1350086
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

XU CHANGJIN¹,LI PEILUAN²

Affiliation:

1. Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550004, P. R. China

2. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, P. R. China

Abstract

In this paper, a discrete version of continuous non-autonomous predator–prey model with delays is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions for the existence and globally asymptotically stability of positive periodic solution of difference equations in consideration are established. Finally, some numerical examples are given to verify the theoretical analysis.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X13500869

Reference21 articles.

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