Title :
Stability and Bifurcation in Enterprise Symbiosis System with Delay
Author :
Aiying, Jiao ; Xiao, Wang
Author_Institution :
Tianjin Inst. of Urban Constr., Tianjin, China
Abstract :
In this paper, a two-enterprise symbiosis Lotka-Volterra system with continuous delay is considered. We first introduce the characteristic of enterprise system, and then investigate the stability of the positive equilibrium and the existence of Hopf bifurcations. 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 series; bifurcation; delay systems; stability; Hopf bifurcation; Lotka-Volterra system; center manifold theorem; continuous delay; enterprise symbiosis system; normal form theory; positive equilibrium stability; Bifurcation; Delay; Manifolds; Mathematical model; Stability analysis; Symbiosis; Hopf bifurcation; LV system; delay; stability;
Conference_Titel :
Electrical and Control Engineering (ICECE), 2010 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-6880-5
DOI :
10.1109/iCECE.2010.489
