Dynamical analysis of a sexually transmitted disease model on complex networks

doi:10.1088/1674-1056/22/3/030207

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30207-030207.doi: 10.1088/1674-1056/22/3/030207

Dynamical analysis of a sexually transmitted disease model on complex networks

原新鹏, 薛亚奎, 刘茂省

Department of Mathematics, North University of China, Taiyuan 030051, China

收稿日期:2012-08-03 修回日期:2012-09-26 出版日期:2013-02-01 发布日期:2013-02-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10901145), the National Science Foundation of Shanxi Province, China (Grant Nos. 2009011005-1 and 2012011002-1), and the Top Young Academic Leaders of Higher Learning Institutions of Shanxi Province, China.

Dynamical analysis of a sexually transmitted disease model on complex networks

Yuan Xin-Peng (原新鹏), Xue Ya-Kui (薛亚奎), Liu Mao-Xing (刘茂省)

Department of Mathematics, North University of China, Taiyuan 030051, China

Received:2012-08-03 Revised:2012-09-26 Online:2013-02-01 Published:2013-02-01
Contact: Xue Ya-Kui E-mail:ykxue@nuc.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10901145), the National Science Foundation of Shanxi Province, China (Grant Nos. 2009011005-1 and 2012011002-1), and the Top Young Academic Leaders of Higher Learning Institutions of Shanxi Province, China.

摘要/Abstract

摘要： In this paper, a sexually transmitted disease model is proposed on complex networks, where contacts between humans are treated as a scale-free social network. There are three groups in our model, which are dangerous male, non-dangerous male, and female. By mathematical analysis, we obtain the basic reproduction number for the existence of endemic equilibrium and study the effects of various immunization schemes about different groups. Furthermore, numerical simulations are undertook to reach and verify more conclusions.

关键词: sexually transmitted diseases, basic reproduction number, complex networks, immunization

Abstract: In this paper, a sexually transmitted disease model is proposed on complex networks, where contacts between humans are treated as a scale-free social network. There are three groups in our model, which are dangerous male, non-dangerous male, and female. By mathematical analysis, we obtain the basic reproduction number for the existence of endemic equilibrium and study the effects of various immunization schemes about different groups. Furthermore, numerical simulations are undertook to reach and verify more conclusions.

Key words: sexually transmitted diseases, basic reproduction number, complex networks, immunization

中图分类号: (Probability theory, stochastic processes, and statistics)

02.50.-r

05.90.+m (Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)

原新鹏, 薛亚奎, 刘茂省. Dynamical analysis of a sexually transmitted disease model on complex networks[J]. 中国物理B, 2013, 22(3): 30207-030207.

Yuan Xin-Peng (原新鹏), Xue Ya-Kui (薛亚奎), Liu Mao-Xing (刘茂省). Dynamical analysis of a sexually transmitted disease model on complex networks[J]. Chin. Phys. B, 2013, 22(3): 30207-030207.

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Dynamical analysis of a sexually transmitted disease model on complex networks

Dynamical analysis of a sexually transmitted disease model on complex networks

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