报告人：王伟副教授，山东科技大学

报告题目：Spatial dynamics of a generalized cholera model with nonlocal time delay in a heterogeneous environment

报告摘要：In this work, we mechanistically formulate a generalized cholera model with nonlocal time delay to study the impact of bacterial hyperinfectivity on cholera epidemics in a spatially heterogeneous environment. Mathematical challenges lie in the fact that (i) the generalized cholera model considers the intrinsic growth of short-lived hyperinfectious (HI vibrios) state of V. cholera and lower-infectious (LI vibrios) state of V. cholera simultaneously; and (ii) this article originally derives the detailed classifications of spatial dynamics for the cholera model with some generally functional response functions, non-uniformness of diffusion rates and nonlocal time delay. We introduce three basic reproduction numbers: one is for HI state of V. cholerae, the other is for LI state of V. cholerae, and another is for the cholera disease in the host population. Based on these basic reproduction numbers, we further establish the global threshold dynamics. Under some conditions, the basic reproduction number of infection is strictly decreasing with respect to the diffusion coefficients of infectious hosts.

报告时间：2024年1月4日15:00

报告地点：#腾讯会议：634-397-224

获取会议密码请发邮件至：jiangwh@hit.edu.cn

报告人简介：王伟，博士，副教授。获山东省第九届高校青年教师教学比赛省级一等奖，主持国家自然科学基金1项。2019.2入选山东科技大学菁英计划A类。以第一完成人发表高水平SCI论文30余篇，其结果主要发表在微分方程与生物数学知名期刊Journal of Differential Equations、Nonlinearity、Bulletin of Mathematical Biology、Zeitschrift für Angewandte Mathematik und Physik等。