An SIS Epidemic Model with Infective Medium and Feedback Mechanism on Scale-Free Networks

doi:10.4236/oalib.1103598

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Open Access Library Journal 4 2017

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An SIS Epidemic Model with Infective Medium and Feedback Mechanism on Scale-Free Networks

DOI: 10.4236/oalib.1103598, PP. 1-9

Xiongding Liu, Tao Li, Yuanmei Wang, Chen Wan, Jing Dong

Subject Areas: Simulation/Analytical Evaluation of Communication Systems, Complex network models

Keywords: Infective Medium, Feedback Mechanism, Basic Reproductive Number, Scale-Free Networks, Equilibrium

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Abstract

In this paper, a modified SIS (susceptible-infected-susceptible) model with infective medium and feedback mechanism on scale-free networks is presented. The model is suited to describe some epidemic spreading which are not only transmitting by medium but also spreading between individuals by direct contacts. Considering biological relevance and people’s subjective consciousness, we introduce medium and feedback to describe the epidemic spreading. By mathematical analysis, we obtain the epidemic threshold and equilibriums. Simulation shows that the medium parameter can change the threshold, and the bigger it is, the easier epidemic breaks. Feedback parameter cannot change the basic reproductive number, but it can reduce the endemic level and weaken the epidemic spreading.

Cite this paper

Liu, X. , Li, T. , Wang, Y. , Wan, C. and Dong, J. (2017). An SIS Epidemic Model with Infective Medium and Feedback Mechanism on Scale-Free Networks. Open Access Library Journal, 4, e3598. doi: http://dx.doi.org/10.4236/oalib.1103598.

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