Back to Search
Start Over
Epidemic models for complex networks with demographics.
- Source :
-
Mathematical biosciences and engineering : MBE [Math Biosci Eng] 2014 Dec; Vol. 11 (6), pp. 1295-317. - Publication Year :
- 2014
-
Abstract
- 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.
Details
- Language :
- English
- ISSN :
- 1551-0018
- Volume :
- 11
- Issue :
- 6
- Database :
- MEDLINE
- Journal :
- Mathematical biosciences and engineering : MBE
- Publication Type :
- Academic Journal
- Accession number :
- 25365609
- Full Text :
- https://doi.org/10.3934/mbe.2014.11.1295