title: Vaccination intervention on epidemic dynamics in networks.
abstract: Vaccination is an important measure available for preventing or reducing the spread of infectious diseases. In this paper, an epidemic model including susceptible, infected, and imperfectly vaccinated compartments is studied on Watts-Strogatz small-world, Barabási-Albert scale-free, and random scale-free networks. The epidemic threshold and prevalence are analyzed. For small-world networks, the effective vaccination intervention is suggested and its influence on the threshold and prevalence is analyzed. For scale-free networks, the threshold is found to be strongly dependent both on the effective vaccination rate and on the connectivity distribution. Moreover, so long as vaccination is effective, it can linearly decrease the epidemic prevalence in small-world networks, whereas for scale-free networks it acts exponentially. These results can help in adopting pragmatic treatment upon diseases in structured populations.
authors.affiliation: Department of Mathematics, Shanghai University, Shanghai 200444, China.
authors.forename: Xiao-Long
authors.initials: XL
authors.lastname: Peng
authors.forename: Xin-Jian
authors.initials: XJ
authors.lastname: Xu
authors.forename: Xinchu
authors.initials: X
authors.lastname: Fu
authors.forename: Tao
authors.initials: T
authors.lastname: Zhou
mesh_terms: D003198:Computer Simulation; D004196:Disease Outbreaks / Q000517:prevention & control* / Q000706:statistics & numerical data*; D006801:Humans; D015994:Incidence; D008962:Models, Theoretical; D016016:Proportional Hazards Models; D014611:Vaccination / Q000706:statistics & numerical data*; D014777:Virus Diseases / Q000453:epidemiology* / Q000517:prevention & control*