Proceedings of the 2015 International Conference on Mechatronics, Electronic, Industrial and Control Engineering

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

Authors
Kaihua Wang, Zhanji Gui
Corresponding Author
Kaihua Wang
Available Online April 2015.
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)

Volume Title
Proceedings of the 2015 International Conference on Mechatronics, Electronic, Industrial and Control Engineering
Series
Advances in Engineering Research
Publication Date
April 2015
ISBN
978-94-62520-62-2
ISSN
2352-5401
DOI
10.2991/meic-15.2015.58How to use a DOI?
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/).

Cite this article

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  -