报告题目:existence of traveling wave solutions for an infection-age diffusive model
主讲人:张天然教授
单位:西南大学
时间:2024年4月13日9:00
地点:学院一楼报告厅
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.
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进展,部分成果发表在在siam j. math. anal.,j. differential equations等杂志上。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。