Periodic Solution of n-Species Gilpin-Ayala Competition System with Impulsive Perturbations

Kaihua Wang, Zhanji Gui

School of Mathematics and Statistics, Hainan Normal University, Haikou, Hainan, China.

DOI: 10.4236/jsea.2012.512B006                

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.

Keywords

Periodic solution; Impulsive perturbations; Mawhin’s continuation theorem

Conflicts of Interest

The authors declare no conflicts of interest.

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