Dynamical Analysis of a Viral Infection Model with Delays in Computer Networks

الملخص EN

This paper is devoted to the study of an SIRS computer virus propagation model with twodelays and multistate antivirus measures.

We demonstrate that the system loses its stabilityand a Hopf bifurcation occurs when the delay passes through the corresponding critical valueby choosing the possible combination of the two delays as the bifurcation parameter.

Moreover,the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions aredetermined by means of the center manifold theorem and the normal form theory.

Finally,some numerical simulations are performed to illustrate the obtained results.