Stability and Immunization Analysis of a Malware Spread Model Over Scale-Free Networks

The spreading dynamics and control of infectious agents primarily depend on the connectivity properties of underlying networks. Here, we investigate the stability of a susceptible- infected-susceptible epidemic model incorporated with multiple infection stages and propagation vectors to mimic malware behavior over scale-free communication networks. In particular, we derive the basic reproductive ratio (R0) and provide results for stability analysis at infection-free and infection-chronic equilibrium points. Based on R0, the effectiveness of four prevailing immunization strategies as countermeasures is studied and compared. The outperformance of proportional and targeted immunization is justified via numerical results.

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