The dynamics of a nonlocal dispersal logistic model with seasonal succession

主講人：戴斌祥 中南大學(xué)教授

時間：2023年12月11日10：00

地點(diǎn)：三號樓115室

舉辦單位：數(shù)理學(xué)院

主講人介紹：戴斌祥，中南大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院二級教授、博士生導(dǎo)師；湖南省數(shù)學(xué)學(xué)會常務(wù)理事、高等教育與大學(xué)數(shù)學(xué)競賽工作委員會副主任委員；中國數(shù)學(xué)會生物數(shù)學(xué)專業(yè)委員會常務(wù)理事；主要從事時滯微分方程與離散動力系統(tǒng)、生物數(shù)學(xué)、反應(yīng)擴(kuò)散方程等領(lǐng)域的研究，先后在《Nonlinearity》、《J Diff Equ》、 《J Dyn Diff Equ》、《ZAMP》、 《J Math Anal Appl.》、《Nonlinear Anal》等國內(nèi)外權(quán)威期刊上發(fā)表學(xué)術(shù)論文160多篇，出版專著與教材10余部，主持6項(xiàng)國家自然科學(xué)基金面上項(xiàng)目、1項(xiàng)973子課題、1項(xiàng)湖南省自然科學(xué)基金重點(diǎn)課題和多項(xiàng)省部級科研課題，獲得湖南省科技進(jìn)步一等獎和湖南省自然科學(xué)一等獎各1項(xiàng)，曾獲得湖南省優(yōu)秀博士學(xué)位論文指導(dǎo)教師獎和全國寶鋼教育基金優(yōu)秀教師獎。

內(nèi)容介紹：This talk is devoted to a nonlocal dispersal logistic model with seasonal succession in one-dimensional fixed boundary and free boundaries,respectively, where the seasonal succession accounts for the effect of two different seasons. For fixed boundary,we provide the persistence-extinction criterion for the species,which is different from that for local diffusion model. For free boundary, we examine the long-time dynamical behaviour and the criteria that completely determine when spreading and vanishing can happen, revealing some significant differences from the model without seasonal succession. Moreover, we use a “thin-tail” condition on the kernel function to estimate the asymptotic spreading speed, which is achieved by solving the associated semi-wave problem.