Dynamical behaviors for a competition and cooperation model of enterprises with two delays

被引:26
|
作者
Liao, Maoxin [1 ]
Xu, Changjin [2 ]
Tang, Xianhua [3 ]
机构
[1] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
[2] Guizhou Coll Finance & Econ, Sch Math & Stat, Guiyang 550004, Peoples R China
[3] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China
关键词
Dynamical behavior; Competition; Cooperation; Enterprise; Delay; PREDATOR-PREY SYSTEM; GLOBAL ATTRACTIVITY; PERIODIC-SOLUTIONS; HOPF-BIFURCATION; STABILITY;
D O I
10.1007/s11071-013-1063-9
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper, dynamical behaviors for a competition and cooperation model of two enterprises with two delays are investigated. By choosing the diverse delay as a bifurcation parameter, we show that the complex Hopf bifurcation phenomenon at the positive equilibrium of the system can occur as the diverse delay crosses some critical values. Finally, some numerical simulations supporting our theoretical results and the economic meaning of the model are also presented.
引用
收藏
页码:257 / 266
页数:10
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