主讲人简介：

李学志博士，二级教授，博士生导师，河南省优秀专家，河南省基础研究领军人才，教育部数学类专业教学指导委员会委员，中国数学会生物数学专业委员会副理事长。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，在德国Springer出版社出版学术著作2部，在SCI收录期刊发表学术论文100余篇，20次应邀到美国、意大利、英国、加拿大、日本、韩国、印度等国访问交流。

内容摘要：

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. 

主持人：秦玉明