Title :
Stability and Hopf Bifurcations of a Three-Species Symbiosis Model with Delays
Author_Institution :
Sch. of Econ. & Manage., Hebei Univ. of Sci. & Technol., Shijiazhuang, China
Abstract :
In this paper, a three-species symbiosis Lotka-Volterra model with discrete delays is considered. The stability of positive equilibrium and the existence of Hopf bifurcations are investigated firstly and then the direction and the stability criteria of the bifurcating periodic solutions are obtained by the normal form theory and the center manifold theorem.
Keywords :
Volterra equations; bifurcation; delays; stability criteria; Hopf bifurcations; bifurcating periodic solutions; center manifold theorem; discrete delays; normal form theory; positive equilibrium; stability criteria; three-species symbiosis Lotka-Volterra model; Bifurcation; Biological system modeling; Chaos; Delay effects; Environmental economics; Equations; Organisms; Stability criteria; Symbiosis; Technology management; Hopf bifurcations; center manifold theorem; delays; normal form; symbiosis model;
Conference_Titel :
Chaos-Fractals Theories and Applications, 2009. IWCFTA '09. International Workshop on
Conference_Location :
Shenyang
Print_ISBN :
978-0-7695-3853-2
DOI :
10.1109/IWCFTA.2009.63
