摘要
为了研究疫苗接种和隔离对传染病传播的抑制作用,构造了一个包含自愿隔离博弈和疫苗接种的传染病模型。通过理论分析证明了无病平衡点的局部稳定性。通过对比是否隔离和是否接种疫苗情况下感染者比例的变化情况,发现2种预防措施对传染病都具有抑制作用。结果表明:增加疫苗接种率和提高感染者隔离率可以减少基本再生数的值;当基本再生数大于1时,隔离易感个体能有效抑制传染病的传播。
In order to study the inhibitory effect of vaccination and quarantine on the spread of infectious diseases,this paper constructs an infectious disease model including voluntary quarantine game and vaccination.The local stability of the disease-free equilibrium is proved by theoretical analysis.By comparing the changes in the proportion of quarantine and non-quarantine infected individuals,and whether they are vaccinated,it is found that the two preventive measures have inhibitory effects on infectious diseases.The results show that increasing the vaccination rate could reduce the basic reproduction number.When the basic reproduction number is greater than 1,quarantining susceptible individuals can effectively inhibit the spread of infectious diseases.
作者
张溶萍
刘茂省
解博丽
ZHANG Rongping;LIU Maoxing;XIE Boli(North University of China,Taiyuan 030051,China)
出处
《重庆理工大学学报（自然科学）》
CAS
北大核心
2022年第7期317-322,共6页
Journal of Chongqing University of Technology：Natural Science
基金
国家自然科学基金项目(12071445,12001501)
山西省“1331”重点创新团队项目
山西省自然科学基金项目(201901D211275)
中北大学校杰出青年基金项目。
关键词
传染病
隔离
疫苗接种
博弈
infectious disease
quarantine
vaccine
game
