摘要
研究了脉冲接种形式下具有隔离因素的流行病模型,讨论了无病周期解的存在性,证明了该周期解的全局渐进稳定性,并给出了模型的基本再生数.最后对脉冲接种和常数接种的接种效率进行了比较.
Pulse vaccinations of epidemical models with quarantine have been studied in this paper.In the SIQR epidemical models with pulse vaccinations,the existence of the infection-free periodic solution has been discussed.Also,it has been proven the global asymptotic stabilities of the infection-free periodic solutions.The basic reproduction numbers have been obtained for those models.Finally,efficiency analysis of pulse vaccinations and constant vaccinations has been compared and contrasted.
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2013年第3期6-9,共4页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(60876014)
河南省高校青年骨干教师计划项目(2010GGJS-170)
河南省自然科学基础研究基金项目(102300410173)
关键词
隔离
SIQR流行病模型
常数接种
脉冲接种
quarantine
SIQR epidemic model
constant vaccination
pulse vaccinations