The increase of the use of the Internet networks favors the spread of viruses. In this paper, we studied the spread of viruses in the scale-free network with different topologies based on the Susceptible–Infected–External (SIE) model. It is found that the network structure influences the virus spreading. We have shown also that the nodes of high degree are more susceptible to infection than others. Furthermore, we have determined a critical maximum value of node degree [Formula: see text], below which the network is more resistible and the computer virus cannot expand into the whole network. The influence of network size is also studied. We found that the network with low size is more effective to reduce the proportion of infected nodes.
Using numerical simulations, we investigate the effects of the connectivity and topologies of network on the quality of transport between connected scale free networks. Hence, the flow as the electrical conductance between connected networks is calculated. It is found that the conductance distribution between networks follow a power law [Formula: see text] where [Formula: see text] is the exponent of the global Network of network, we show that the transport in the symmetric growing preferential attachment connection is more efficient than the symmetric static preferential attachment connection. Furthermore, the differences of transport and networks communications properties in the different cases are discussed.
Despite the reality of traffic prioritization in real networks as the internet, this has almost been ignored in designed routing protocols. In this work, we propose a priority policy where packets are prioritized according to their destination. This procedure is applied to a fraction f of nodes; packets are classified as High Priority if their destinations are among the fraction f, otherwise the packets are treated as Low Priority. Using numerical simulation we found that the prioritization of nodes with high degree (hubs) is always more efficient than the prioritization of nodes with small degree or the random prioritization of nodes. Moreover, we observed three regimes based on the prioritized fraction f in the network: the first one is characterized by an improvement of the High Priority Traffic (HPT) flow without any degradation of the flow of the Low Priority Traffic (LPT). In the second regime, the HPT gains some performance at the expense of a loss of the performance in the LPT flow. While in the last regime the LPT experiences a low performance without any noticeable improvement in HPT compared to the normal flow.
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