Existence and simulations of periodic solution of a predator-prey system with Holling-type response and impulsive effects

Abstract

The principle aim of this paper is to explore the existence of periodic solution of a predator-prey model with functional response 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. © 2011 Springer-Verlag Berlin Heidelberg.