Minimizing the Viruses Propagation in Interconnected Complex Networks

Abstract

This paper investigates the dynamic behavior of the spread of viruses between two interconnected subnets, R1 and R2, for two network models. For that, a new model of virus spread, based on the Susceptible-Infected-Recovered (SIR) model and the minimal traffic model for a routing protocol, has been proposed. This model allows studying the evolution of the propagation of viruses from an infected subnet to an uninfected one. The simulation shows that the behavior of virus propagation in the system depends strongly on the network model. For model “A,” where all connections follow the preferential attachment, the infection rate in the system is high. For model “B,” where the connections are well distributed, and the distribution degree follows a power law, the infection rate is low. It is found that, even for the low values of (recovered rate), the proportion of the infected packets for model “A” is much higher than the ones observed in model “B,” almost 50% more for different values of (infection rate). Furthermore, it is observed that the proportion of infected packets does not begin to increase until a particular value of for all values of,, depending on the model of the Network. From a particular value of this point of transition no longer appears; the infection rate remains zero for all values of The spread of the virus is also affected by the traffic regime. For R<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup>, it is noticed that the proportion of susceptible is not zero at the stationary state, while in the congested phase, it is noticed that it becomes zero after a few iterations. For R<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sup> in the congested phase, the proportion of infected will decrease with time according to the value of In contrast, the infected and recovered packets remain in competition in the free phase.