一类时滞计算机网络病毒模型的动力学行为（英文）

Dynamics of an epidemic model of computer virus with delays

研究了一类具有2个时滞的SLBRS计算机病毒模型的局部稳定性和局部Hopf分支.以2个时滞的不同组合为分支参数,得到了模型的局部稳定性和局部Hopf分支存在的充分条件.利用中心流形定理和规范型理论研究了Hopf分支的方向和稳定性等性质.最后,利用仿真示例对理论分析结果的正确性进行了验证.

An SLBRS computer virus model with two delays is considered.Local stability and local Hopf bifurcation of this model are investigated.Sufficient conditions for local stability and the existence of local Hopf bifurcation are obtained by regarding different combinations of the two delays as the bifurcation parameters.In particular,the properties of Hopf bifurcation including direction and stability are investigated by the normal form method and center manifold theory.Some numerical simulations are used to illustrate the theoretical results.