报告题目: Spatial Propagation in a Within-Host Viral Infection Model

报告人：林国 教授 兰州大学

邀请人：李善兵副教授

报告时间：2022年04月06日（周三）9：00-10：00

报告地点：腾讯会议238-530-999

报告人简介：林国，理学博士，兰州大学教授，博士生导师。研究领域为应用数学，特别关注非合作反应扩散系统的空间传播理论，已在国内外期刊公开发表学术论文五十余篇，培养硕士及博士研究生十余人，主持国家自然科学基金项目四项、教育部及甘肃省科学基金各一项，研究成果曾获甘肃省自然科学二等奖及甘肃省高等学校科技成果一等奖。

报告摘要：We study the asymptotic spreading in a within-host viral infection model which describes the spatial expansion speeds of viruses and infected cells within an infected host. We first establish the boundedness of solutions to the Cauchy problem via local $L^p$-estimates and dual arguments. Then the spreading speed is estimated when the basic reproduction number of the corresponding kinetic system is larger than one. When the basic reproduction number of the corresponding kinetic system is less than one, the virus dies out uniformly. This talk is based on the work with Xinjian Wang (Lanzhou U. ) and Shigui Ruan (U. Miami).

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