Title :
Stability and Hopf bifurcation analysis of a delayed co-opetition-symbiosis syetem
Author :
Qin Gao ; Chen-Xia Jin
Author_Institution :
Sch. of Econ. & Manage., Hebei Univ. of Sci. & Technol., Shijiazhuang, China
Abstract :
A delayed co-opetition-symbiosis system is considered in this paper. By using the normal form theory and the center manifold theorem, the stability and Hopf bifurcations are investigated. It is found that the Hopf bifurcations occur when the delay passes through a sequence of critical values. At last, some numerical simulations are carried out to illustrate the main results.
Keywords :
bifurcation; delays; nonlinear differential equations; predator-prey systems; stability; Hopf bifurcation analysis; center manifold theorem; delayed co-opetition-symbiosis system; normal form theory; stability; Abstracts; Biological system modeling; Educational institutions; Stability analysis; Water; Center manifold theorem; Co-opetition-symbiosis model; Delays; Hopf bifurcation; Normal form;
Conference_Titel :
Machine Learning and Cybernetics (ICMLC), 2014 International Conference on
Conference_Location :
Lanzhou
Print_ISBN :
978-1-4799-4216-9
DOI :
10.1109/ICMLC.2014.7009686
