主講人：王皓 加拿大阿爾伯塔大學(xué)終身教授

時(shí)間：2022年11月12日10：00

地點(diǎn)：騰訊會(huì)議 478 127 447

舉辦單位：數(shù)理學(xué)院

主講人介紹：王皓，現(xiàn)為加拿大阿爾伯塔大學(xué)終身教授，數(shù)學(xué)生態(tài)學(xué)與流行病學(xué)交叉實(shí)驗(yàn)室（ILMEE）主任。他在化學(xué)計(jì)量和認(rèn)知運(yùn)動(dòng)理論及其在生物降解、生態(tài)毒理學(xué)和傳染病中的應(yīng)用等領(lǐng)域取得了許多重要研究成果，發(fā)表SCI論文百余篇，其中大部分成果發(fā)表在 SIAM J. Appl. Math., JDE, JMB, Nonlinearity, J Nonlinear Sci等國(guó)際著名期刊。目前領(lǐng)導(dǎo)著一個(gè)由30名博士后和研究生組成的科研團(tuán)隊(duì)，獲得了多項(xiàng)NSERC基金資助。他培養(yǎng)了很多優(yōu)秀的博士生和博士后，其中部分已經(jīng)成為加拿大、美國(guó)、中國(guó)和韓國(guó)等地的教授，以及一些頂尖大學(xué)的博士后。由于出色的指導(dǎo)博士生和博士后的經(jīng)歷，他獲得了FGSR優(yōu)秀導(dǎo)師獎(jiǎng)和約瑟芬·米切爾優(yōu)秀指導(dǎo)獎(jiǎng)。由于出色的研究工作，他獲得了NSERC個(gè)人探索獎(jiǎng)和一些優(yōu)秀科研職業(yè)獎(jiǎng)。他目前擔(dān)任《Mathematical Biosciences and Engineering》的主編、《Journal of Mathematical Biology》、《Bulletin of Mathematical Biology》、《Mathematical Biosciences》和DCDS-B的編委，以及《Nonlinear Dynamics and Systems Theory》的北美主編。

內(nèi)容介紹：I will present SIS reaction-diffusion epidemic 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. The theoretical results are illustrated by numerical simulations, which additionally show the segregation phenomenon between susceptible and infected populations regulated by different movement strategies. Spatial segregation here is natural, not caused by an isolation policy, and thus is the most important indicator for an infectious disease to spread or wane in the absence of intervention. Several scenarios will be provided to compare different models for spatial segregation and its resulting infection size.