Comparison of mean-field based theoretical analysis methods for SIS model

Abstract

Epidemic spreading has been intensively studied in SIS epidemic model. Although the mean-field theory of SIS model has been widely used in the research, there is a lack of comparative results between different theoretical calculations, and the differences between them should be systematically explained. In this paper, we have compared different theoretical solutions for mean-field theory and explained the underlying reason. We first describe the differences between different equations for mean-field theory in different networks. The results show that the difference between mean-field reaction equations is due to the different probability consideration for the infection process. This finding will help us to design better theoretical solutions for epidemic models.

arXiv comment11 pages, 5 figures

References in corpus (15)

• Epidemic spreading in scale-free networks
• Epidemic dynamics and endemic states in complex networks
• Statistical physics of vaccination
• Epidemic outbreaks in complex heterogeneous networks
• Thresholds for epidemic spreading in networks
• Epidemic dynamics in finite size scale-free networks
• Epidemic spreading in correlated complex networks
• Localization and Spreading of Diseases in Complex Networks
• Epidemic thresholds of the Susceptible-Infected-Susceptible model on networks: A comparison of numerical and theoretical results
• Epidemic threshold for the SIS model on networks
• Effect of the Interconnected Network Structure on the Epidemic Threshold
• Epidemic Threshold of Susceptible-Infected-Susceptible Model on Complex Networks
• Behavior of susceptible-infected-susceptible epidemics on heterogeneous networks with saturation
• Disease Spreading in Structured Scale-Free Networks
• Rare regions of the Susceptible Infected Susceptible model on Barabási-Albert networks