双时滞网站竞争模型的稳定性及Hopf分析  

Stability and Hopf Analysis of a Website Competition Model with Two Delays

作　　者：徐钰莹 赵维锐[1] XU Yu-ying;ZHAO Wei-rui(College of Science,Wuhan University of Technology,Wuhan 4300701,China)

机构地区：[1]武汉理工大学理学院

出　　处：《数学的实践与认识》2018年第23期289-296,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61573012);中央高校基本科研业务费专项资金(2017IB014);基础学科研究项目(181114011)

摘　　要：考虑了一类同时具有自反馈时滞和竞争时滞且取值不相同的网站竞争模型.将时滞作为分支参数,利用系统正平衡点处的特征方程分析了系统局部渐近稳定的充分条件以及Hopf分支的存在性问题.最后,通过数值模拟验证了结论的正确性.In this paper,we consider a kind of website competition model with both selffeedback delay and.competition delay,which have different values.Taking time delay as a branch parameter,the sufficient conditio.ns for the local asymptotic stability of the system and the existence of the Hopf bifurcation are analyzed by using the characteristic equation at the positive equilibrium point of the system.Finally,the correcthess of the conclusion :is verified by numerical simulation.

关 键 词：网站竞争 稳定性 HOPF分支 

分 类 号：O175[理学—数学]