Journal of Applied Mathematics

Positive Periodic Solutions in a Discrete Time Three Species Competition System

Changjin Xu and Yusen Wu

Full-text: Open access

Abstract

A periodic discrete time three species competition system is investigated. With the aid of differential equations with piecewise constant arguments, a discrete analogue of continuous nonautonomous three species competition system is proposed. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, sufficient conditions for the existence of positive periodic solutions of the model are obtained.

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 963046, 13 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394807879

Digital Object Identifier
doi:10.1155/2013/963046

Mathematical Reviews number (MathSciNet)
MR3033580

Zentralblatt MATH identifier
1266.92068

Citation

Xu, Changjin; Wu, Yusen. Positive Periodic Solutions in a Discrete Time Three Species Competition System. J. Appl. Math. 2013 (2013), Article ID 963046, 13 pages. doi:10.1155/2013/963046. https://projecteuclid.org/euclid.jam/1394807879


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