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Effects of nonlocal dispersal strategies and heterogeneous environment on total population
时间:2021年09月01日 16:15 点击数:

报告人:白学利

报告地点:腾讯会议ID:607950252

报告时间:2021年09月05日星期日10:00-11:00

邀请人:李敬宇

报告摘要:

In this talk, we consider the 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\squard{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 the total population as a function of dispersal rate d admits exactly one local maximum point in (inf m, sup m) under suitable conditions. These results reveal essential discrepancies between local and nonlocal dispersal strategies. This talk is based on a joint work with Fang Li.

主讲人简介:

西北工业大学数学与统计学院副教授,主持国家自然科学基金青年基金等项目,在 J. Funct. Anal.,Indiana Univ. Math. J.,J. Differential Equations, Calc. Var. Partial Differential Equations等著名数学期刊发表多篇论文。

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