DocumentCode
3118349
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
fYear
2010
fDate
18-20 June 2010
Firstpage
1
Lastpage
4
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Bioinformatics and Biomedical Engineering (iCBBE), 2010 4th International Conference on
Conference_Location
Chengdu
ISSN
2151-7614
Print_ISBN
978-1-4244-4712-1
Electronic_ISBN
2151-7614
Type
conf
DOI
10.1109/ICBBE.2010.5516311
Filename
5516311
Link To Document