應(yīng)yl7703永利官網(wǎng)林國(guó)教授邀請(qǐng)，加拿大阿爾伯塔大學(xué)數(shù)學(xué)與統(tǒng)計(jì)科學(xué)學(xué)院王皓博士將于2018年5月9日-2018年5月13日訪問(wèn)yl7703永利官網(wǎng)，期間將舉辦專題學(xué)術(shù)報(bào)告。
報(bào)告題目：On impulsive reaction-diffusion-advection models in higher dimensions
時(shí) 間：5月10日（星期四）10時(shí) .
地 點(diǎn)：齊云樓911報(bào)告廳.
報(bào)告摘要：We formulate a general impulsive reaction-diffusion-advection equation model to describe the population dynamics of species with distinct reproductive and dispersal stages. The seasonal reproduction is modeled by a discrete-time map, while the dispersal is modeled by a reaction-diffusion-advection partial differential equation. Study of this model requires a simultaneous analysis of the differential equation and the recurrence relation. When boundary conditions are hostile we provide critical domain results showing how extinction versus persistence of the species arises, depending on the size and geometry of the domain. We show that there exists an extreme volume size such that if the region size falls below this size the species is driven extinct, regardless of the geometry of the domain. To construct such extreme volume sizes and critical domain sizes, we apply the classical Rayleigh-Faber-Krahn inequality and the spectrum of uniformly elliptic operators. The critical domain results provide qualitative insight regarding long-term dynamics for the model. Last, we provide applications of our main results to certain biological reaction-diffusion models regarding marine reserve, terrestrial reserve, insect pest outbreak, and population subject to climate change.
*This is a joint work with Mostafa Fazly (University of Texas at San Antonio) and Mark A. Lewis (University of Alberta).
歡迎廣大師生光臨!
王皓博士簡(jiǎn)介
王皓于2006年畢業(yè)于美國(guó)亞利桑那州立大學(xué)并獲得博士學(xué)位，之后在美國(guó)喬治亞理工學(xué)院從事博士后研究，現(xiàn)為加拿大阿爾伯塔大學(xué)數(shù)學(xué)系終身副教授。他將數(shù)學(xué)、計(jì)算科學(xué)和實(shí)驗(yàn)研究進(jìn)行融合，其研究側(cè)重于微分方程及其在生命科學(xué)中的應(yīng)用，通過(guò)多尺度建模(多尺度的時(shí)間和/或空間)，在化學(xué)計(jì)量建模、微生物學(xué)、生態(tài)毒理學(xué)、物種入侵和傳染病等領(lǐng)域已經(jīng)完成了許多重要的研究成果。他已在SIAM 系列、BMB、JMB、JTB等期刊上發(fā)表學(xué)術(shù)論文30余篇，研究工作曾得到多項(xiàng)加拿大及美國(guó)各類科研項(xiàng)目資助，并擔(dān)任Math Biosci、MBE、DCDS-B等期刊編委。
yl7703永利官網(wǎng)
應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)重點(diǎn)實(shí)驗(yàn)室
萃英學(xué)院
二〇一八年五月七日
