应pc加拿大预测准确率林国教授邀请，加拿大阿尔伯塔大学数学与统计科学学院王皓博士将于2018年5月9日-2018年5月13日访问pc加拿大预测准确率，期间将举办专题学术报告。
报告题目：On impulsive reaction-diffusion-advection models in higher dimensions
时 间：5月10日（星期四）10时 .
地 点：齐云楼911报告厅.
报告摘要：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).
欢迎广大师生光临!
王皓博士简介
王皓于2006年毕业于美国亚利桑那州立大学并获得博士学位，之后在美国乔治亚理工学院从事博士后研究，现为加拿大阿尔伯塔大学数学系终身副教授。他将数学、计算科学和实验研究进行融合，其研究侧重于微分方程及其在生命科学中的应用，通过多尺度建模(多尺度的时间和/或空间)，在化学计量建模、微生物学、生态毒理学、物种入侵和传染病等领域已经完成了许多重要的研究成果。他已在SIAM 系列、BMB、JMB、JTB等期刊上发表学术论文30余篇，研究工作曾得到多项加拿大及美国各类科研项目资助，并担任Math Biosci、MBE、DCDS-B等期刊编委。
pc加拿大预测准确率
应用数学与复杂系统重点实验室
萃英学院
二〇一八年五月七日
