Open AccessEpidemic models for complex networks with demographics
Author(s) -
Zhen Jin,
GuiQuan Sun,
Huaiping Zhu
Publication year - 2014
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2014.11.1295
Subject(s) - basic reproduction number , demographics , stability theory , reproduction , epidemic model , population , transmission (telecommunications) , demography , mathematics , statistics , econometrics , biology , computer science , ecology , physics , telecommunications , quantum mechanics , nonlinear system , sociology
In this paper, we propose and study network epidemic models with demographics for disease transmission. We obtain the formula of the basic reproduction number R0 of infection for an SIS model with births or recruitment and death rate. We prove that if R0 ≤ 1 , infection-free equilibrium of SIS model is globally asymptotically stable; if R0 > 1 , there exists a unique endemic equilibrium which is globally asymptotically stable. It is also found that demographics has great effect on basic reproduction number R0. Furthermore, the degree distribution of population varies with time before it reaches the stationary state.