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
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;
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.2010.5515803
