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.