一类时滞计算机网络病毒模型的动力学行为(Dynamics of an epidemic model of computer virus with delays)

Abstract

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.

Keywords

• delays
• hopf bifurcation
• slbrs model
• stability
• periodic solutions