A Delayed Stage-Structured Predator-Prey Model with Impulsive Perturbations on Predator

Author

Wang, Wei ; Xiong, Zuoliang ; Zou, Ling

Author_Institution

Dept. of Math, Nanchang Univ., Nanchang, China

fYear

2009

fDate

11-13 June 2009

Firstpage

1

Lastpage

4

Abstract

In this paper, a delayed stage-structured predator- prey model with the immature prey are taken care of by their parents and biological control strategies (that is releasing natural enemies at different fixed time) is considered. By using comparison theorem, the existence of the globally asymptotically stable prey-eradication periodic solution when the number of releasing natural enemies more than some critical value is proved. The conditions for the permanence of the system are given. Numerical simulation proved the academic results.

Keywords

biocontrol; predator-prey systems; biological control; delayed stage-structured predator-prey model; global asymptotic stability; immature prey; impulsive perturbations; natural enemies; numerical simulation; prey eradication; Biological control systems; Biological system modeling; Delay effects; Ecosystems; Environmental economics; Insects; Numerical simulation; Pest control; Pollution; Predator prey systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Bioinformatics and Biomedical Engineering , 2009. ICBBE 2009. 3rd International Conference on

Conference_Location

Beijing

Print_ISBN

978-1-4244-2901-1

Electronic_ISBN

978-1-4244-2902-8

Type

conf

DOI

10.1109/ICBBE.2009.5162166

Filename

5162166