應(yīng)yl7703永利官網(wǎng)王智誠教授的邀請(qǐng)，杭州師范大學(xué)宋永利教授將于2019年 10月26日至 10月28日訪問蘭州大學(xué),期間將舉辦專題學(xué)術(shù)報(bào)告。

報(bào)告題目：Spatiotemporal dynamics in the single population model with memory-based diffusion

報(bào)告摘要：To incorporate spatial memory and nonlocal effect of animal movements, we propose and investigate the spatiotemporal dynamics of the single population model with memory-based diffusion and nonlocal reaction. We first study the stability of a positive equilibrium and the steady state bifurcation induced by diffusion and nonlocality. We then investigate the impact of the averaged memory period on stability and bifurcation, and show that the combination of the averaged memory period and the diffusion can lead to the occurrence of Turing-Hopf and double Hopf bifurcations. The paper originally derives the normal form theory for Turing-Hopf bifurcation in the general reaction-diffusion equation with memory-based diffusion and nonlocal reaction. This novel algorithm can be widely used to classify the spatiotemporal dynamics near the Turing-Hopf bifurcation point. Finally, we apply the obtained results to a model proposed by Brit-ton and numerically illustrate the spatiotemporal patterns induced by Hopf, Turing-Hopf and double Hopf bifurcations. Stable spatially homogeneous/nonhomogeneous periodic solutions, homogeneous/nonhomo-geneous steady states and the transition from one of these solutions to another are provided in this paper. We additionally acquire the coexistence of two stable spatially nonhomogeneous steady states or two spatially nonhomogeneous periodic solutions near the Turing-Hopf bifurcation point.

時(shí) 間：10月27日下午16:30.

地 點(diǎn)：齊云樓 911多媒體報(bào)告廳

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宋永利教授簡介

宋永利,杭州師范大學(xué)教授、同濟(jì)大學(xué)博士生導(dǎo)師、浙江省高等學(xué)?！板X江學(xué)者”特聘教授、中國生物數(shù)學(xué)學(xué)會(huì)理事。曾出訪西班牙、澳大利亞、加拿大、美國做博士后或合作研究。已在SIAM J. Applied Dynamical Systems, Journal of Differential Equations, Journal of Nonlinear Science、Nonlinearity、 IEEE Transactions on Neural Networks and Learning Systems、Physica D等國際學(xué)術(shù)期刊上發(fā)表學(xué)術(shù)論文70余篇。2014年起連續(xù)5年入選中國高被引學(xué)者榜單(數(shù)學(xué)類)。曾主持、或作為項(xiàng)目組主要成員參與國家自然科學(xué)基金重點(diǎn)項(xiàng)目、面上項(xiàng)目、上海市自然科學(xué)基金、浙江省自然科學(xué)基金等項(xiàng)目十余項(xiàng)。2011年入選教育部新世紀(jì)優(yōu)秀人才計(jì)劃。2017年獲威海市科學(xué)技術(shù)一等獎(jiǎng)（3/3）。2018年入選浙江省151人才工程第一層次培養(yǎng)人選。

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

2019年10月27日