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

doi:10.1007/s10483-007-1215-y

Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (12): 1679-1689 .doi: https://doi.org/10.1007/s10483-007-1215-y

• 论文 • 上一篇

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

焦建军, 陈兰荪

收稿日期:2007-03-15 修回日期:2007-08-20 出版日期:2007-12-18 发布日期:2007-12-18
通讯作者: 焦建军

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

JIAO Jian-jun, CHEN Lan-sun

1. School of Mathematics and Statistics, Guizhou College of Finance & Economics, Guiyang 550004, P. R. China;
2. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China

Received:2007-03-15 Revised:2007-08-20 Online:2007-12-18 Published:2007-12-18
Contact: JIAO Jian-jun

摘要/Abstract

Abstract: 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.

Key words: null

中图分类号:

焦建军;陈兰荪. Delayed stage-structured predator-prey model with impulsive perturbations on predator and chemical control on prey[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(12): 1679-1689 .

JIAO Jian-jun;CHEN Lan-sun. Delayed stage-structured predator-prey model with impulsive perturbations on predator and chemical control on prey[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(12): 1679-1689 .

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

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

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