DocumentCode
3107370
Title
Qualitative Analysis of a Delayed and Stage-Structured Predator-Prey System
Author
Wang, Lingshu ; Feng, Guanghui
Author_Institution
Sch. of Math. & Stat., Hebei Univ. of Econ. & Bus., Shijiazhuang, China
fYear
2010
fDate
18-20 June 2010
Firstpage
1
Lastpage
4
Abstract
A delayed and stage-structured predator-prey system with Holling type-II functional response is discussed. By using the normal form theory and center manifold theorem, the linear stability of the system is investigated and Hopf bifurcations are established. Formula determining the direction of bifurcations and the stability of bifurcating periodic solutions are given. Numerical simulations are carried out to illustrate the theoretical results.
Keywords
bifurcation; delays; predator-prey systems; Holling type-II functional response; Hopf bifurcation; delayed predator-prey system; linear stability; stage structured predator-prey system; Bifurcation; Delay effects; Educational institutions; History; Mathematics; Mechanical engineering; Numerical simulation; Predator prey systems; Stability; Statistical analysis;
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.2010.5515803
Filename
5515803
Link To Document