报告题目: Traveling wave solutions to a nonlocal diffusion SEIR epidemic model with bilinear incidence
摘要:
In this talk, I will discuss the existence of traveling wave solutions for a nonlocal diffusion SEIR epidemic model with bilinear incidence rates, and present necessary and sufficient conditions for the existence of such solutions. The key to the problem lies in proving the boundedness of the traveling wave solutions. Previous discussions on the boundedness of traveling wave solutions in nonlocal diffusion models (such as predator-prey models) involved studying solutions of single linear nonlocal diffusion equations and analyzing the monotonicity of traveling waves. However, due to the higher dimensionality of our model, the methods previously applied to predator-prey models are not easily adaptable here. We will introduce the Laplace transform to establish the boundedness of the traveling wave solutions, thereby avoiding detailed discussions on the subtle properties of the waves. Only the unboundedness of the solutions is required to derive a contradiction.
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，部分成果发表在Siam Journal On Mathematical Analysis，Journal of 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。
时间：2026年3月24日（星期二）上午8:30
地点：理学楼410会议室
欢迎各位老师、同学积极参加！
