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

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.

Spreading Dynamic of a PLSGP Giving up Smoking Model on Scale-Free Network

“…That is, the threshold approaches zero in the limit of a large number of edges and nodes, and even a quite small infectious rate can produce a major epidemic outbreak. Liu XD et al [8] presented an SIS (susceptible-infected-susceptible) epidemic model with infective medium and feedback mechanism on scale-free networks. They found that the epidemic is not only spread between individuals by direct contacts but also transmitted by medium, people's initial response when epidemic disease outbreaks have been also considered.…”