Epidemic spreading with nonlinear infectivity in weighted scale-free networks

Xiangwei Chu, Zhongzhi Zhang, Jihong Guan and Shuigeng Zhou

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 3, 471-481

Abstract: In this paper, we investigate the epidemic spreading for the SIR model in weighted scale-free networks with the nonlinear infectivity and weighted transmission rate. Concretely, we introduce the infectivity exponent α and the weight exponent β into the epidemic system, then examine the impact of α and β on the epidemic spreading. We show that one can adjust the values of α and β to rebuild a nonzero finite epidemic threshold. Furthermore, we also find the infectivity exponent α has a stronger effect not only on the epidemic threshold, but also on the epidemic prevalence. In addition, it is also interesting to see that the absence of the epidemic threshold appears not very dejected, since the prevalence grows much more slowly as the transmission rate λ increases.

Keywords: Scale free networks; Epidemic spreading; Weighted transmission rate; Nonlinear infectivity (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:3:p:471-481

DOI: 10.1016/j.physa.2010.09.038

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