Title :
Stability and Hopf bifurcation analysis of a predator-prey system with diffusion and two delays
Author :
Yu, Futian ; Jiang, Minghui ; Shen, Yanjun ; Yuan, Weirong
Author_Institution :
Inst. of Nonlinear Complex Syst., China Three Gorges Univ., Yichang, China
Abstract :
In this paper, a predator-prey system with diffusion and two delays is investigated. By analyzing the characteristic equations, the local stability of positive equilibrium and local Hopf bifurcations is discussed. Moreover, some explicit formulae for determining the stability and direction of Hopf bifurcation periodic solutions are obtained by using normal form theory and center manifold theory. The results we obtain can be used to provide reliable foundation for making control strategy.
Keywords :
bifurcation; delays; diffusion; predator-prey systems; stability; Hopf bifurcation periodic solution; center manifold theory; control strategy; delays; diffusion; explicit formula; local Hopf bifurcation analysis; local stability; normal form theory; positive equilibrium; predator-prey system; Asymptotic stability; Bifurcation; Delay effects; Manifolds; Predator prey systems; Stability analysis;
Conference_Titel :
Information Science and Technology (ICIST), 2012 International Conference on
Conference_Location :
Hubei
Print_ISBN :
978-1-4577-0343-0
DOI :
10.1109/ICIST.2012.6221604
