中北大学学报（自然科学版）2017，Vol.38Issue(6)：557-562,6.DOI:10.3969/j.issn.1673-3193.2017.06.001
带有自愿接种博弈的SIV性传染病模型的建立与分析
Establishment and Analysis of SIV Model of Sexually Transmitted Diease with Voluntary Vaccination Strategy
摘要
Abstract
In order to reveal the relationships between individuals'voluntary decisions on vaccination and spread and control of sexually transmitted diseases,evolutionary game theory was integrated into the ep-idemic models.An epidemic model with voluntary vaccination at high risk groups was constructed.The results after analyzing models show that individual's rational decision on voluntary vaccination depends on two kinds of information,the size of disease transmission and the "cost" of vaccination,which lead to the opposite conclusions when the spread of the disease is large.It hides the risk of larger disease out-breaks when the estimation of "cost-benefit" for vaccination is more precise.The most important thing is that knowing a large number of information about the latest outbreaks and vaccination is not conducive to disease control for the general public.关键词
SIV性传染病模型/Logistic方程/自愿接种博弈/基本再生数Key words
SIV model of STD/Logistic equation/voluntary vaccination strategy/basic reproduction number分类
数理科学引用本文复制引用
汤瑞瑞,张菊平..带有自愿接种博弈的SIV性传染病模型的建立与分析[J].中北大学学报（自然科学版）,2017,38(6):557-562,6.基金项目
国家自然科学基金资助项目(11301491) （11301491）
山西省自然科学基金资助项目(2015011009) （2015011009）
山西省自然科学基金面上青年基金资助项目(201601D021015) （201601D021015）
