Delayed stage-structured predator-prey model with impulsive perturbations on predator and chemical control on prey  

作　　者：焦建军 陈兰荪 

机构地区：[1]School of Mathematics and Statistics,Guizhou College of Finance & Economics [2]Department of Applied Mathematics,Dalian University of Technology,Dalian 116024,P.R.China [3]Department of Applied Mathematics,Dalian University of Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第12期1679-1689,共11页应用数学和力学（英文版）

基　　金：the National Natural Science Foundation of China(No.10471117)the Leading Academic Discipline Project of Guizhou Province

摘　　要：We consider a delayed stage-structured pest management predator-prey system with impulsive transmitting on predator and chemical control on prey. Sufficient conditions of the global attractiveness of the pest-extinction boundary periodic solution and permanence of the system are obtained. We also prove that all solutions of the system are uniformly ultimately bounded. Our results provide reliable tactical basis for practical pest management.We consider a delayed stage-structured pest management predator-prey system with impulsive transmitting on predator and chemical control on prey. Sufficient conditions of the global attractiveness of the pest-extinction boundary periodic solution and permanence of the system are obtained. We also prove that all solutions of the system are uniformly ultimately bounded. Our results provide reliable tactical basis for practical pest management.

关 键 词：stage-structured DELAYED impulsive global attractivity PERMANENCE pest-extinction 

分 类 号：O175[理学—数学]