时滞反馈广告模型的稳定性与分支分析"  

Stability and Hopf bifurcation analysis of advertising model with time-delayed feedback

作　　者：张二丽[1] 吴卓 ZHANG Erli;WU Zhuo(School of Information Engineering, Zhengzhou Institute of Finance and Economics, Zhengzhou 450044,China;Australian National University, Canberra 2615)

机构地区：[1]郑州财经学院信息工程学院,河南郑州450044 [2]澳洲国立大学

出　　处：《周口师范学院学报》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)

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.

关 键 词：时滞反馈 稳定性 HOPF分支 

分 类 号：O175.13[理学—数学]