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Ahmad S and Lazer A C “Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system,” Nonlinear Anal. 40 (2000) 37-49.

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

  AUTHORS: Kaihua Wang, Zhanji Gui

  KEYWORDS: Periodic solution; Impulsive perturbations; Mawhin’s continuation theorem

  JOURNAL NAME: Journal of Software Engineering and Applications, Vol.5 No.12B, January 18, 2013

  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.