Title :
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
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;
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
DOI :
10.1109/ICBBE.2009.5162166
