主讲人：王皓

主讲人简介：王皓，加拿大生物数学首席科学家（Tier 1 Canada Research Chair in Mathematical Biosciences），加拿大阿尔伯塔大学终身正教授，阿尔伯塔大学数学生态学和传染病学交叉研究实验室主任。现任9个国际生物数学和动力系统主流杂志的主编或编委，已在高水平SCI期刊发表论文180余篇。在化学计量学，动物认知移动，环境污染毒素，微生物分解，物种入侵，传染病传播机制和预测等都做出了开创性和突破性研究。目前主导加拿大Alliance Missions等多个国家重点基金。荣获加拿大应用与工业数学会科研突破奖（CAIMS-SCMAI Research Prize），阿尔伯塔大学杰出导师奖，约瑟夫·米歇尔指导奖，以及加拿大国家基金科研加速资助奖等。

报告内容概要：In this talk, I will present epidemic reaction-diffusion models with cognition and show the impact of movement strategies on disease outbreak and mitigation under a spatially heterogeneous environment. The cognitive diffusion either takes a Fokker-Planck type diffusion obtained by Chapman's diffusion law (called random diffusion) or follows Fick's diffusion law (called symmetric diffusion). We derive a variational expression of the basic reproduction number R0 for both models and prove that the disease-free equilibrium is unique and globally asymptotically stable if R0<1. Furthermore, if R0>1, the model following Fick's diffusion law admits at least one endemic equilibrium and the model following Chapman's diffusion law has a unique endemic equilibrium.