at Different Moments

Copyright © 2013 Yongliang Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. According to biological strategy for pest control, we consider a delayed pest management SEI model with birth pulse and impulsive harvesting at different moments. We prove that all solutions of the system are uniformly ultimately bounded and get the conditions of the globally attractive infection-free boundary periodic solution of the system. Further, we obtain sufficient condition with time delay for the permanence of the system. Our results give some reasonable suggestions for pest management