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

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.