Dynamic analysis of a sexually transmitted disease model on complex networks  

作　　者：原新鹏 薛亚奎 刘茂省 

机构地区：[1]Department of Mathematics,North University of China

出　　处：《Chinese Physics B》2013年第3期85-91,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 10901145);the Natural Science Foundation of Shanxi Province,China(Grant Nos. 2009011005-1 and 2012011002-1);the Top Young Academic Leaders of Higher Learning Institutions of Shanxi Province,China

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 undertaken to verify more conclusions.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 undertaken to verify more conclusions.

关 键 词：sexually transmitted diseases basic reproduction number complex networks IMMUNIZATION 

分 类 号：O157.5[理学—数学] R759[理学—基础数学]