Epidemic spreading in scale-free networks including the effect of individual vigilance

Abstract

In this paper, we study the epidemic spreading in scale-free networks and propose a new susceptible-infected-recovered (SIR) model that includes the effect of individual vigilance. In our model, the effective spreading rate is dynamically adjusted with the time evolution at the vigilance period. Using the mean-field theory, an analytical result is derived. It shows that individual vigilance has no effect on the epidemic threshold. The numerical simulations agree well with the analytical result. Furthermore, we investigate the effect of individual vigilance on the epidemic spreading speed. It is shown that individual vigilance can slow the epidemic spreading speed effectively and delay the arrival of peak epidemic infection.

Bluetooth Worms Propagation in Smartphone Networks with Awareness

“…It is noted that many epidemic models with awareness have been proposed [6,[11][12][13]. Different from these studies our work focuses on how the structure of underlying network structure of awareness diffusion influences the Bluetooth dynamics.…”

“…Recently, smartphone worm behaviors have been studied in many literatures using complex network theory [4] and basing on classical epidemic models such as SIS (susceptible-infected-susceptible) [5] and SIR (susceptible-infected-recovered) [6] in order to understand the mechanism of worm propagation deeply and further propose the control strategies effectively. For example, Rhodes et al presented an opportunistic transmission model for Bluetooth worms in the smartphone network of mobile population [7].…”

The Analysis of an SIRS Epidemic Model with Discrete Delay on Scale-Free Network

“…where m is the minimum connectivity of the network. It follows from (14) and (15) that 0 R , which depends both N and τ , can be approximately computed.…”

Epidemic Spreading with Heterogeneous Awareness on Human Networks

“…In the process of epidemic spreading, many susceptible individuals are aware of the potential risks of becoming infected and change their behavior to reduce the possibility of infection [10,11], and the awareness behavior can spread though contact or public media and other tools in the crowd [12,13]. In turn, changing of human behavior in the process of epidemic spreading also influences epidemic spreading [14][15][16][17][18][19][20]. For example, Funk et al [13] introduced awareness on homogeneous networks to investigate the spread of awareness and its impact on epidemic outbreaks.…”

“…Wu et al [16] focused on the three forms of awareness and explored the impact of them on epidemic spreading in a finite scale-free network. Lu et al [17] and Gong et al [18] studied epidemic spreading on scale networks considering awareness and individual vigilance, respectively. In these papers, awareness interacts with epidemic and the existence of awareness can significantly enhance the epidemic threshold or reduce the scale of virus outbreaks.…”