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【和山数学论坛249期】河南财政金融学院李学志教授学术报告

信息来源:   点击次数:  发布时间:2021-09-23

题目Modeling and research on an immuno-epidemiological coupled system with coinfection

主讲人:河南财政金融学院校长、博士生导师李学志教授

时间:2021925(周六) 下午 14:00-15:00    

地点:腾讯会议ID301 349 273

摘要:In this talk, a two-strain model with coinfection that links immunological and epidemiological dynamics across scales is formulated. On the with-in host scale, the two strains eliminate each other with the strain having the larger immunological reproduction number persisting. However, on the population scale coinfection is a common occurrence. Individuals infected with strain one can become coinfected with strain two, and similarly for individuals originally infected with strain two. The immunological reproduction numbers Rj , the epidemiological reproduction numbers Rj and invasion reproduction numbers Rij are computed. Besides the disease-free equilibrium, there are strain one and strain two dominance equilibria. The disease-free equilibrium is locally asymptotically stable when the epidemiological reproduction numbers Rj are smaller than one. In addition, each strain dominance equilibrium is locally asymptotically stable if the corresponding epidemiological reproduction number is larger than one and the invasion reproduction number of the other strain is smaller than one. The coexistence equilibrium exists when all the reproduction numbers are greater than one. Simulations suggest that when both invasion reproduction numbers are smaller than one bistability occurs with one of the strains persisting or the other, depending on initial conditions.

 

个人简介:李学志,二级教授,博士生导师河南财政金融学院校长,河南省优秀专家,河南省劳动模范,河南省学术与技术带头人,中国数学会生物数学专业委员会副理事长,教育部数学类专业教学指导委员会委员,国家自然科学基金同行评审专家,《应用泛函分析学报》编委,《国际生物数学与系统生物学》副主编,美国《数学评论》评论员。主要研究领域:应用泛函分析,生物数学,传染病动力学。主持国家自然科学基金面上项目5项,主持国家自然科学基金对外合作与交流项目4项,主持河南省杰出青年科学基金项目、河南省科技创新杰出人才支持计划项目等省部级项目12项。出版学术著作5部,在国外和国内核心期刊发表学术论文150余篇,其中被SCI收录80余篇。

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