Different behaviors of epidemic spreading in scale-free networks with identical degree sequence

Abstract

Recently, the study of dynamical behaviors of the susceptible-infected (SI) disease model in complex networks, especially in Barabási-Albert (BA) scalefree networks, has attracted much attention. Although some interesting phenomena have been observed, the formative reasons for those particular dynamical behaviors are still not well understood, despite the speculation that topological properties (for example the degree distribution) have a strong impact on epidemic spreading. In this paper, we study the evolution behaviors of epidemic spreading on a class of scale-free networks sharing identical degree sequence, and observe significantly different evolution behaviors in the whole family of networks. We show that the power-law degree distribution does not suffice to characterize the dynamical behaviors of disease diffusion on scale-free networks.

On the global dynamics of an SEIRS epidemic model of malware propagation

“…Chu et al modeled and analyzed dynamical behaviors of malware propagation in SFNs based on the SI model. Degree distribution has a strong impact on malware propagation [5]. Meloni et al based on SIS epidemic model, analyzed and modeled malware propagation in complex networks using traffic flow [15], they show that the epidemic incidence is shaped by contact flow or traffic conditions [15].…”

“…(The theorem is based on the related work on global stability, such as [23].) Theorem 1: We rewrite model (1) according to (4) and obtain (5).…”

“…These kinds of networks are often referred to as scale-free networks (SFNs). Amongst various typical dynamical processes built on SFNs, epidemic spreading models receive more attention and studying epidemic spreading is important for the theoretical research and diseases control [5]. The susceptible-infected (SI) model is a fundamental model for disease spreading [5].…”

“…Amongst various typical dynamical processes built on SFNs, epidemic spreading models receive more attention and studying epidemic spreading is important for the theoretical research and diseases control [5]. The susceptible-infected (SI) model is a fundamental model for disease spreading [5]. In epidemiology modeling on SFN, epidemic models, such as SI, SIS or SIR, are more used for modeling malware propagation [5,6].…”

“…The susceptible-infected (SI) model is a fundamental model for disease spreading [5]. In epidemiology modeling on SFN, epidemic models, such as SI, SIS or SIR, are more used for modeling malware propagation [5,6].…”