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
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;
Conference_Titel :
Information Engineering and Computer Science, 2009. ICIECS 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4994-1
DOI :
10.1109/ICIECS.2009.5363757
