ANALYSIS OF DSEIQRS WORM PROPAGATION DYNAMICS WITH TIME DELAY

Aimed at the time required for antivirus software to check and kill new viruses and the different downtime rates of nodes, a class of DSEIQRS network worm propagation dynamics model with time delay is proposed. Based on the propagation threshold σ of the network worm, the stability of the diseasefree equilibrium point and the positive equilibrium point was analyzed, and the time delay critical point of the Hopf bifurcation was calculated. The influence of the three node transfer parameters on the propagation of the network worm was given. The simulation results show that when σ<1, the diseasefree equilibrium point is locally asymptotically stable; when σ>1, the positive equilibrium point is locally asymptotically stable. Increasing the isolation rate coefficient, descreasing the SE state node infection rate coefficient ψ and increasing the node immunity rate ρ can effectively control the spread of worms in the network.