Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7375615 | Physica A: Statistical Mechanics and its Applications | 2018 | 29 Pages |
Abstract
In this paper, an SIR model with birth and death on complex networks is analyzed, where infected individuals are divided into m groups according to their infection and contact between human is treated as a scale-free social network. We obtain the basic reproduction number R0 as well as the effects of various immunization schemes. The results indicate that the disease-free equilibrium is locally and globally asymptotically stable in some conditions, otherwise disease-free equilibrium is unstable and exists an unique endemic equilibrium that is globally asymptotically stable. Our theoretical results are confirmed by numerical simulations and a promising way for infectious diseases control is suggested.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Xinpeng Yuan, Fang Wang, Yakui Xue, Maoxing Liu,