DocumentCode :
2794667
Title :
Stability and Hopf Bifurcations of a Three-Species Symbiosis Model with Delays
Author :
Gao, Qin
Author_Institution :
Sch. of Econ. & Manage., Hebei Univ. of Sci. & Technol., Shijiazhuang, China
fYear :
2009
fDate :
6-8 Nov. 2009
Firstpage :
272
Lastpage :
276
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;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Chaos-Fractals Theories and Applications, 2009. IWCFTA '09. International Workshop on
Conference_Location :
Shenyang
Print_ISBN :
978-0-7695-3853-2
Type :
conf
DOI :
10.1109/IWCFTA.2009.63
Filename :
5362006
Link To Document :
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