Title
Mathematical analysis of an SIR network model with imperfect vaccination and varying size of population
Abstract
Epidemic Spreading is a major global health problem. Modeling epidemic spreading dynamics is important for understanding and controlling epidemic spreading, providing prevention strategies. This paper points out some flaws existing in the susceptible-infected - susceptible (SIS) model proposed by Safan and Rihan, and proposes a modified susceptible-infected-recovered (SIR) model on homogenous networks. It is proved that if the basic reproduction number Rv of the model is less than one, then the infection-free equilibrium of the model is globally asymptotically stable. On the other hand, if Rv of the model is more than one, the endemic equilibrium of the model is globally asymptotically stable. This paper also numerically predicts the effect of vaccination ratio on the size of HBV infected mainland Chinese population.
Year
DOI
Venue
2017
10.1145/3036331.3036348
ICCMS
Field
DocType
ISBN
Econometrics,Population,Epidemic model,Imperfect,Computer science,Simulation,Vaccination,Control engineering,Basic reproduction number,Network model,Stability theory
Conference
978-1-4503-4816-4
Citations 
PageRank 
References 
0
0.34
4
Authors
4
Name
Order
Citations
PageRank
Yao Hu14317.26
Lequan Min29215.20
Yongmei Su393.10
Yang Kuang4246.49