Title :
Stability and Permanence of a Delayed Stage-Structured Predator-Prey System
Author :
Zou, Ling ; Xiong, Zuoliang ; Wu, Lifeng
Author_Institution :
Dept. of Math, Nanchang Univ., Nanchang, China
Abstract :
In this paper, a predator-prey system is proposed which changes the roles of predator and prey when the prey becomes adult. Through investigating, sufficient conditions have been obtained for boundedness of solutions and permanence of the proposed model. By using bifurcation theory, Hopf bifurcation occurs as the time delay increases through a critical value. At last, numerical simulations are carried out to illustrate the above theoretical analysis.
Keywords :
bifurcation; delays; predator-prey systems; stability; Hopf bifurcation; bifurcation theory; delayed stage-structured predator-prey system; permanence; stability; time delay; Bifurcation; Delay effects; Delay systems; Equations; Mathematical model; Numerical simulation; Predator prey systems; Stability; Sufficient conditions;
Conference_Titel :
Bioinformatics and Biomedical Engineering (iCBBE), 2010 4th International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-4712-1
Electronic_ISBN :
2151-7614
DOI :
10.1109/ICBBE.2010.5516311
