Dynamical analysis of a sexually transmitted disease model on complex networks

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

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.

Keywords: sexually transmitted diseases basic reproduction number complex networks immunization

Received: 03 August 2012
Revised: 26 September 2012
Accepted manuscript online:

PACS:	02.50.-r	(Probability theory, stochastic processes, and statistics)
	05.90.+m	(Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)

Fund: 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.

Corresponding Authors: Xue Ya-Kui
E-mail: ykxue@nuc.edu.cn

Cite this article:

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 2013 Chin. Phys. B 22 030207

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