报告题目： Epidemic waves for a diffusive two-group model with double nonlocal effects in a patchy environment

报告人：吴楚芬 教授（佛山大学）

报告时间： 2025年7月2日（星期三）下午 15:00-16:00

报告地点： 腾讯会议      会议ID：884-337-675

校内联系人: 衣凤岐 教授     联系电话：84708351-8518

报告摘要: We propose a lattice dynamical system that arises in a discrete diffusive two-group epidemic model with latency in a patchy environment. The model considers the SIS form and latency of the disease in group 1, while the SIR form without latency of the disease in group 2. The system includes double nonlocal effects, one effect is the nonlocal diffusion of individuals in isolated patches or niches, while the other effect is the distributed transmission delay representing the incubation of the disease. We demonstrate that there is a threshold value $c^*$ that can determine the persistence or disappearance of the disease. If $c\geq c^*$, then there is an epidemic wave connecting the disease-free equilibrium and endemic equilibrium. If $0<c<c^*$, then the disease will die out.

报告人简介：吴楚芬，佛山大学数学学院三级教授、副院长、数学学科学术带头人。主要从事微分方程理论及应用的研究。在包括Journal of Differential Equations, Journal of Dynamics and Differential Equations, Proceedings of American Mathematical Society, Proceedings of the Roytal Society of Edingburgh-A等杂志上发表论文30余篇。主持国家自然科学基金项目3项、省部级项目3项。