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Periodic Solution of n-Species Gilpin-Ayala Competition System with Impulsive Perturbations
School of Mathematics and Statistics, Hainan Normal University, Haikou, Hainan, China
School of Mathematics and Statistics, Hainan Normal University, Haikou, Hainan, China
- 1 School of Mathematics and Statistics, Hainan Normal University, Haikou, Hainan, China
- 2 School of Mathematics and Statistics, Hainan Normal University, Haikou, Hainan, China
Journal of Software Engineering and Applications·Volume 05 (2013)·Pages 26–29·Published 17 January 2013·DOI10.4236/jsea.2012.512B006
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Abstract
The principle aim of this paper is to explore the existence of periodic solution of n-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 chaotic strange attractor.
KeywordsPeriodic solutionImpulsive perturbationsMawhin’s continuation theorem
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