中国物理B ›› 2009, Vol. 18 ›› Issue (6): 2115-2120.doi: 10.1088/1674-1056/18/6/002

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Modelling the spread of sexually transmitted diseases on scale-free networks

阮炯1, 刘茂省2   

  1. (1)School of Mathematical Sciences, Fudan University, Shanghai 200433, China; (2)School of Mathematical Sciences, Fudan University, Shanghai 200433, China;Department of Mathematics, North University of China, Taiyuan 030051, China
  • 收稿日期:2008-10-08 修回日期:2008-10-30 出版日期:2009-06-20 发布日期:2009-06-20

Modelling the spread of sexually transmitted diseases on scale-free networks

Liu Mao-Xing(刘茂省)a)b)† and Ruan Jiong(阮炯)a)   

  1. a School of Mathematical Sciences, Fudan University, Shanghai 200433, China; b Department of Mathematics, North University of China, Taiyuan 030051, China
  • Received:2008-10-08 Revised:2008-10-30 Online:2009-06-20 Published:2009-06-20

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摘要： In this paper a new model for the spread of sexually transmitted diseases (STDs) is presented. The dynamic behaviors of the model on a heterogenous scale-free (SF) network are considered, where the absence of a threshold on the SF network is demonstrated, and the stability of the disease-free equilibrium is obtained. Three immunization strategies, uniform immunization, proportional immunization and targeted immunization, are applied in this model. Analytical and simulated results are given to show that the proportional immunization strategy in the model is effective on SF networks.

关键词: epidemic modelling, scale-free networks, immunization, STDs spreading

Abstract: In this paper a new model for the spread of sexually transmitted diseases (STDs) is presented. The dynamic behaviors of the model on a heterogenous scale-free (SF) network are considered, where the absence of a threshold on the SF network is demonstrated, and the stability of the disease-free equilibrium is obtained. Three immunization strategies, uniform immunization, proportional immunization and targeted immunization, are applied in this model. Analytical and simulated results are given to show that the proportional immunization strategy in the model is effective on SF networks.

Key words: epidemic modelling, scale-free networks, immunization, STDs spreading

中图分类号:  (Diseases)

  • 87.19.X-
89.75.Hc (Networks and genealogical trees)