Existence and simulations of an impulsive appropriate pest management SI model with biological and chemical control

Abstract

Using the continuation theorem of coincidence degree theory and analysis techniques, we establish criteria for the existence of periodic solutions of predator-prey models and impulsive perturbations. It is more appropriate to add the density-dependent term to these models in this paper. Further, computer simulation shows that our models can occur in many forms of complexities including periodic oscillation and gui chaotic strange attractor. © 2011 Springer-Verlag Berlin Heidelberg.