报告题目:Existence of traveling wave solutions for an infection-age diffusive model
报告人:西南大学张天然教授
报告时间:2023年10月18日上午10点-11点
报告地点:重庆工商大学数学与统计学院会议室80602
报告摘要:
In this talk, we will study an epidemic model that incorporates the population diffusion and infection age. The threshold conditions for the existence of traveling wave solutions are established, which answer two open problems in Ducrot and Magal (Nonlinearity, 24 (2011), 2891-2911). More specifically, the restriction for the diffusion coefficients of susceptible population and infectious population is removed and the existence of traveling wave solution with critical wave speed is obtained.
报告人简介:
张天然,理学博士,西南大学教授,美国《数学评论》评论员。研究领域为微分方程及生物数学,主要使用反应扩散系统刻画种群扩散及传染病的传播规律,在非合作反应扩散系统行波解的存在性方面取得了一些实质性进展,已在SIAM J. Math. Anal.,J. Differential Equations等杂志上发表论文十多篇。主持国家自然科学基金面上项目2项、重庆市自然科学基金2项。