摘要
研究了广告模型的时滞反馈,以时滞为参数,讨论时滞对模型平衡点的稳定性和Hopf分支存在性的影响.研究发现当时滞处于一定范围时,模型的平衡点稳定,并且会出现Hopf分支.最后,数值模拟验证了理论结果.
The advertising model with time-delayed feedback is studied.Taking the delay as parameter,we consider the effect of delay on the stability of equilibrium point and the existence of Hopf bifurcation.It is found that the equilibrium is stable and the Hopf bifurcation arises if time delay in a certain range.Finally,some numerical simulation are carried out to support the analytic results.
作者
张二丽
吴卓
ZHANG Erli;WU Zhuo(School of Information Engineering, Zhengzhou Institute of Finance and Economics, Zhengzhou 450044,China;Australian National University, Canberra 2615)
出处
《周口师范学院学报》
CAS
2017年第2期10-13,共4页
Journal of Zhoukou Normal University
基金
河南省高等学校重点科研资助项目(No.16A110038
No.17B110003)
关键词
时滞反馈
稳定性
HOPF分支
time-delay feedback
stability
Hopf bifurcation
