應(yīng)yl7703永利官網(wǎng)王智誠(chéng)教授和張亮教授的邀請(qǐng)，哈爾濱師范大學(xué)數(shù)學(xué)科學(xué)學(xué)院王金鳳教授將于2023年11月29日-12月1日訪問(wèn)蘭州大學(xué)，期間于11月30日舉辦線上專題學(xué)術(shù)報(bào)告。

報(bào)告題目：Invasion Dynamics of Predator-Prey Systems in Closed Advective Environments

時(shí) 間：11月30日14:30.

地 點(diǎn)：騰訊會(huì)議807-511-446

報(bào)告摘要：This talk is devoted to the study of population dynamics of a general predator-prey system in closed advective environments, where the effective advection rate of each species is proportional to its diffusion rate. For such a class of systems, we provide clear pictures on the dynamical behaviors in terms of the spontaneous death rate $c$ of predators and diffusion rates $d_1$ and $d_2$ by using the monotonicity of the principal eigenvalue, and then present global results on the persistence/extinction of both species on the $c-d_2$ plane or the $d_1-d_2$ plane by appealing to the theory of uniform persistence and the comparison principle. In contrast to non-advective environments, the invasion of predators depends heavily on diffusion rates and advection rates. Further, we establish the global stability of a unique positive equilibrium for a special predator-prey interaction by constructing a spatial Lyapunov function.

歡迎廣大師生光臨!

報(bào)告人簡(jiǎn)介

王金鳳，哈爾濱師范大學(xué)數(shù)學(xué)科學(xué)學(xué)院教授，博士生導(dǎo)師，黑龍江省高校青年學(xué)術(shù)骨干，黑龍江省數(shù)學(xué)會(huì)常務(wù)理事。一直致力于反應(yīng)擴(kuò)散方程及其在生態(tài)學(xué)中的應(yīng)用的研究，在JDE,JDDE,JMB,M3AS,ZAMP等期刊發(fā)表相關(guān)SCI檢索文章30余篇，主持完成國(guó)家自然科學(xué)基金項(xiàng)目2項(xiàng)，省自然科學(xué)基金項(xiàng)目3項(xiàng)。

甘肅應(yīng)用數(shù)學(xué)中心

甘肅省高校應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)省級(jí)重點(diǎn)實(shí)驗(yàn)室

yl7703永利官網(wǎng)

萃英學(xué)院

2023年11月28日