TITLE:
An SIS Epidemic Model with Infective Medium and Feedback Mechanism on Scale-Free Networks
AUTHORS:
Xiongding Liu, Tao Li, Yuanmei Wang, Chen Wan, Jing Dong
KEYWORDS:
Infective Medium, Feedback Mechanism, Basic Reproductive Number, Scale-Free Networks, Equilibrium
JOURNAL NAME:
Open Access Library Journal,
Vol.4 No.5,
May
22,
2017
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 thebasic reproductive
number, but it can reduce the endemic level and weaken the epidemic
spreading.