勷勤数学•专家报告

题      目：ESS in advective patchy environments

报  告  人： 周鹏 教授  (邀请人：余虓)

                                         上海师范大学

时      间： 8月4日  11：00-12:00

地     点：数科院西楼111报告厅

报告人简介:

       周鹏，上海师范大学数学系教授，国家级青年人才。2015年获上海交通大学理学博士。2015-2017年受加拿大北大西洋数学科学研究协会（AARMS）资助从事博士后研究。主要研究方向为微分方程与动力系统以及生物数学，围绕无穷维竞争系统全局动力学做出系列工作，部分结果发表在JDE，JFA，JMPA，SIMA，SIAP等国际数学期刊。主持国自然面上项目，上海市科委基础研究项目等。曾入选上海市东方学者特聘教授及跟踪计划。

摘      要：

       In a recent work by Jiang, Lam and Lou [Bull. Math. Biol., 2020, Paper No. 131, 42pp], where, to discuss the evolution of dispersal, the authors considered the case of three patches, proposed three models by considering different topology of river network and found that the slower or faster diffuser may win,  or there may appear the evolutionarily singular strategy, depending on given modeling parameters. However, the issue whether there is evolutionarily stable strategy (ESS, a central concept in evolution game theory) is unknown. In this paper, focusing on ``Model I" proposed by them, we give a confirmed answer to this unsolved problem, namely, there does exist ESS. Our main is also useful to treat the other two models proposed by them.

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