The dynamics of spreading and immune strategies of sexually transmitted diseases on scale-free network

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:365

Article

Lou, Jie³  Ruggeri, Tommaso^1,2 

[1] Univ Bologna, Res Ctr Appl Math CIRAM, I-40123 Bologna, Italy

[2] Univ Bologna, Dept Math, I-40123 Bologna, Italy

[3] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

关键词: STDs;    Scale-free network;    Epidemic threshold;    Proportional immunization strategy;    Targeted immunization strategy;   

DOI  :  10.1016/j.jmaa.2009.10.044

来源: Elsevier

【 摘 要 】

We examine epidemic threshold and dynamics for sexually transmitted diseases (STDs) spread using a multiple susceptible-infected-removed-susceptible ODE model on scale-free networks. We derive the threshold for the epidemic to be zero in infinite scale-free network. For a hard cut off scale-free network, we also prove the stability of disease-free equilibrium and the persistence of STDs infection. The effects of two immunization schemes, including proportional scheme and targeted vaccination, are studied and compared. We find that targeted strategy compare favorably to a proportional scheme in terms of effectiveness. Theory and simulations both prove that an appropriate condom using has prominent effect to control STDs spread on scale-free networks. (c) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free