The Periodic Solution of an Impulsive Perturbed Two-Species Gilpin-Ayala Competition System

DOI

10.2991/meic-15.2015.58How to use a DOI?

Keywords

Periodic solution; competitive system; Gilpin-Ayala system; impulsese; coincidence degree theory;

Abstract

The principle purpose of this paper is to explore the existence of periodic solution of Two-Species Gilpin-Ayala competition system with impulsive perturbations. Sufficient and realistic conditions are obtained by using Mawhin's continuation theorem of the coincidence degree. Further, some numerical simulations show that our model can occur in many forms of complexities including periodic oscillation and Gui chaotic strange attractor.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Kaihua Wang
AU  - Zhanji Gui
PY  - 2015/04
DA  - 2015/04
TI  - The Periodic Solution of an Impulsive Perturbed Two-Species Gilpin-Ayala Competition System
BT  - Proceedings of the 2015 International Conference on Mechatronics, Electronic, Industrial and Control Engineering
PB  - Atlantis Press
SP  - 243
EP  - 246
SN  - 2352-5401
UR  - https://doi.org/10.2991/meic-15.2015.58
DO  - 10.2991/meic-15.2015.58
ID  - Wang2015/04
ER  -