STABILITY AND HOPF BIFURCATION ANALYSIS OF A DELAYED CO-OPETITION-SYMBIOSIS SYETEM

被引:0
作者
Gao, Qin [1 ]
Jin, Chen-Xia [1 ]
机构
[1] Hebei Univ Sci & Technol, Sch Econ & Management, Shijiazhuang, Peoples R China
来源
PROCEEDINGS OF 2014 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS (ICMLC), VOL 2 | 2014年
关键词
Co-opetition-symbiosis model; Delays; Hopf bifurcation; Normal form; Center manifold theorem; PREDATOR-PREY SYSTEM; TIME-DELAY; STAGE-STRUCTURE; MODEL; DIFFUSION; DISEASE;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
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.
引用
收藏
页码:653 / 659
页数:7
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