Existence and simulations of periodic solution for impulsive predator-prey system with stage structure for the predator

Abstract

The principle aim of this paper is to explore the existence of periodic solution of a predator-prey model with stage structure for the predator and 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. © 2012 Springer-Verlag.