Threshold conditions for SIS epidemic models on edge-weighted networks

Qingchu Wu and Fei Zhang

Physica A: Statistical Mechanics and its Applications, 2016, vol. 453, issue C, 77-83

Abstract: We consider the disease dynamics of a susceptible–infected–susceptible model in weighted random and regular networks. By using the pairwise approximation, we build an edge-based compartment model, from which the condition of epidemic outbreak is obtained. Our results suggest that there exists a remarkable difference between the linear and nonlinear transmission rate. For a linear transmission rate, the epidemic threshold is completely determined by the mean weight, which is different from the susceptible–infected–recovered model framework. While for a nonlinear transmission rate, the epidemic threshold is not only related to the mean weight, but also closely related to the heterogeneity of weight distribution.

Keywords: Weighted network; Epidemic spreading; Pairwise approximation (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:453:y:2016:i:c:p:77-83

DOI: 10.1016/j.physa.2016.02.036

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