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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.

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