Existence and simulations of periodic solution of a three-species Lotka-Volterra predator-prey system with impulsive perturbations

The principle aim of this paper is to explore the existence of periodic solution of a three-species periodic Lotka-Volterra predator-prey 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.