应兰州大学数学与统计学院林国教授和孙建文副教授的邀请,中山大学李芳副教授将于2021年6月28日-6月30日与我校有关师生进行在线学术研讨,其中6月30日举行线上专题学术报告。
报告题目:Effects of dispersal strategies and heterogeneous environment on total population
时 间:6月30日下午15:30.
地 点:腾讯会议 ID:694 8382 5110
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 $C\sqrt{d}$. Moreover, examples are constructed to indicate that this upper bound is optimal. 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. This is joint work with Xueli Bai.
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李芳副教授简介
李芳,2008年于美国明尼苏达大学获得博士学位,师从倪维明教授,之后在美国普渡大学工作了3年,任科研助理教授,现为中山大学副教授。主持过国家自然科学基金面上项目以及上海市浦江人才计划基金。主要研究带有应用背景的非线性椭圆型抛物型方程(组),有多篇文章发表在Indiana University Mathematics Journal,Journal of Differential Equations,Journal of Mathematical Biology, Bulletin of Mathematical Biology, European Journal of Applied Mathematics等国际一流学术期刊上。
甘肃应用数学中心
萃英学院
甘肃省高校应用数学与复杂系统省级重点实验室
数学与统计学院
2021年6月29日