DocumentCode
2824088
Title
Stability Analysis of a Delayed Predator-Prey Model with Stage Structure
Author
Wang, Lingshu ; Feng, Guanghui
Author_Institution
Sch. of Math. & Stat., Hebei Univ. of Econ. & Bus., Shijiazhuang, China
fYear
2009
fDate
19-20 Dec. 2009
Firstpage
1
Lastpage
4
Abstract
A delayed predator-prey model with stage structure is investigated. The linear stability of the system is discussed and Hopf bifurcations are established by using the normal form theory and center manifold theorem. 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; differential equations; predator-prey systems; stability; Hopf bifurcations; center manifold theorem; delayed predator-prey model; linear stability; normal form theory; stability analysis; stage structure; Bifurcation; Delay effects; Educational institutions; Manifolds; Mathematics; Mechanical engineering; Numerical simulation; Predator prey systems; Stability analysis; Statistical analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Engineering and Computer Science, 2009. ICIECS 2009. International Conference on
Conference_Location
Wuhan
Print_ISBN
978-1-4244-4994-1
Type
conf
DOI
10.1109/ICIECS.2009.5363757
Filename
5363757
Link To Document