報(bào)告人：周鵬 教授
報(bào)告題目：ESS in advective patchy environments
報(bào)告時(shí)間：2026年4月28日（周二）下午4：00
報(bào)告地點(diǎn)：騰訊會議：473450851
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院
報(bào)告人簡介：
周鵬，上海師范大學(xué)數(shù)學(xué)系教授，博士生導(dǎo)師。2015年獲上海交通大學(xué)理學(xué)博士。2015-2017年受加拿大北大西洋數(shù)學(xué)科學(xué)研究協(xié)會（AARMS）資助從事博士后研究。主要研究方向?yàn)槲⒎址匠膛c動力系統(tǒng)以及生物數(shù)學(xué)，圍繞無窮維競爭系統(tǒng)全局動力學(xué)做出系列工作，部分結(jié)果發(fā)表在JDE，JFA，JMPA，SIMA，SIAP等國際數(shù)學(xué)期刊。主持國家自然科學(xué)基金委優(yōu)青項(xiàng)目、面上項(xiàng)目，上海市科委基礎(chǔ)研究項(xiàng)目等。曾入選上海市東方學(xué)者特聘教授及跟蹤計(jì)劃。
報(bào)告摘要：
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.