主講人：王皓

主講人簡介：王皓，加拿大生物數學首席科學家（Tier 1 Canada Research Chair in Mathematical Biosciences），加拿大阿爾伯塔大學終身正教授，阿爾伯塔大學數學生態學和傳染病學交叉研究實驗室主任。現任9個國際生物數學和動力系統主流雜志的主編或編委，已在高水平SCI期刊發表論文180余篇。在化學計量學，動物認知移動，環境污染毒素，微生物分解，物種入侵，傳染病傳播機制和預測等都做出了開創性和突破性研究。目前主導加拿大Alliance Missions等多個國家重點基金。榮獲加拿大應用與工業數學會科研突破獎（CAIMS-SCMAI Research Prize），阿爾伯塔大學杰出導師獎，約瑟夫·米歇爾指導獎，以及加拿大國家基金科研加速資助獎等。

報告內容概要：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.