报告题目：Effects of dispersal strategies and heterogeneous environment on total population

报 告 人：李芳，中山大学 副教授

报告摘要：In this talk, we consider a single species model with nonlocal dispersal strategy and investigate how the dispersal rate of the species and the distribution of resources affect the total population. First, we show that the upper bound for the ratio between total population and total resource is of order $\sqrt{d}$. More importantly, we provide an optimal condition on the distribution of resources such that the above ratio is of order $\squr{d}$. Some applications will be discussed. Secondly, for a type of simplified nonlocal diffusion operator, we prove that under certain condition, the total population as a function of dispersal rate admits exactly one local maximum point. These results reveal essential discrepancies between local and nonlocal dispersal strategies.

报告人简介：李芳，山东济南人，中山大学数学学院副教授，博士生导师。本科毕业于浙江大学，博士毕业于美国明尼苏达大学。现在主要研究非线性椭圆和抛物方程(组)。这些方程(组)涉及生物、化学、材料等很多科学领域。近年来，关注反应扩散方程中的非局部效应等相关问题。曾主持国家自然科学基金青年项目、上海市浦江人才计划项目、上海市自然科学基金面上项目，曾参与国家自然科学基金重点项目。现主持国家自然科学基金面上项目和广东省自然科学基金面上项目。现参与数学天元基金重点专项。研究成果发表在J. Math. Pures Appl., J. Funct. Anal., Calc. Var. PDE，Indiana Univ. Math. J.等国际数学期刊上。

报告时间：2022年9月1日（星期四）下午14:00-17:00

报告地点：腾讯会议ID：728277547

主办单位：伟德国际1946源自英国