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
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