Author(s)

Kaihua Wang, Zhanji Gui

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

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.

Periodic solution; Impulsive perturbations; Mawhin’s continuation theorem

K. Wang and Z. Gui, "Periodic Solution of n-Species Gilpin-Ayala Competition System with Impulsive Perturbations," Journal of Software Engineering and Applications, Vol. 5 No. 12B, 2012, pp. 26-29. doi: 10.4236/jsea.2012.512B006.