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【预告】Some Results on Nonlocal Dispersal SIS Models in Heterogeneous Environments

来源: 日期:2022-12-03 作者: 浏览次数:

报告题目Some Results on Nonlocal Dispersal SIS Models in Heterogeneous Environments

报告时间2022年12月5日14:00-16:00

报告地点:腾讯会议366-410-193

报告摘要

In this talk we consider a nonlocal dispersal SIS epidemic model, where the spatial movement of individuals is described by a nonlocal diffusion operator, the transmission rate and recovery rate are spatially heterogeneous. We first define the basic reproduction number R_0 and discuss the existence, uniqueness and stability of steady states of the nonlocal dispersal SIS epidemic model in terms of R_0. Then we study the asymptotic profiles of the endemic steady states for large and small diffusion rates to illustrate the persistence or extinction of the infectious disease. We also observe the concentration phenomenon which occurs when the diffusion rate of the infected individuals tends to zero. The obtained results indicate that the nonlocal movement of the susceptible or infectious individuals will enhance the persistence of the infectious disease. In particular, our analytical results suggest that the spatial heterogeneity tends to boost the spread of the infectious disease.

李万同:二级教授,博士,博士导师,兰州大学“萃英学者”二级岗位教授,中国数学会副理事长、甘肃省数学会理事长,兰州大学数学与统计学院院长、甘肃应用数学中心主任、甘肃省高校应用数学与复杂系统重点实验室主任。主要从事偏微分方程与动力系统领域的相关研究,在Marcel Dekker出版社《纯粹数学与应用数学专著系列》合作出版专著1部,主持国家自然科学基金重点项目1项,面上及国际合作项目7项,参加重点项目1项。主持完成的项目获甘肃省自然科学一等奖和二等奖各1次。1998年入选《甘肃省333科技人才工程第一层次》、2001年获第二届《教育部优秀青年教师奖》,并获《甘肃省优秀专家》称号、2004年获国务院颁发的政府特殊津贴并获《宝钢教育基金会优秀教师奖》、2009年入选甘肃省领军人才第一层次。先后担任国家自然科学基金杰青、重大、重点、面上、青年等项目会议评审专家及科技部国家重点研发计划会议评审专家。