应兰州大学数学与统计学院李万同教授和孙建文教授邀请，山西大学王明新教授将于2026年6月29日作学术报告，诚邀全校师生参加！

题 目：Approximation of Generalized Principal Eigenvalues and Dynamical Applications for Time-Periodic Cooperative Nonlocal Dispersal Systems

时 间：6月29日（周一）上午10：30

地点：理工楼601

摘要：Nonlocal dispersal systems suffer from a lack of compactness, which may lead to the nonexistence of classical principal eigenvalues and complicate dynamical analysis. This talk concerns time-periodic cooperative nonlocal dispersal systems with spatiotemporal heterogeneity. We develop an approximation framework via monotone upper and lower control systems and present a variational characterization of the generalized spectral bound. We further establish rigorous criteria for the existence, uniqueness and global stability of positive periodic solutions and reveal a clear threshold dynamics determined by the spectral bound. Specifically, a positive spectral bound yields stable positive periodic solutions, whereas a non-positive spectral bound leads to extinction of nontrivial solutions. The obtained abstract theory is applied to typical epidemic models such as the West Nile virus model, illustrating its effectiveness and providing a unified theoretical tool for studying periodic nonlocal biological dispersal systems. This is a joint work with Lei Zhang from Shannxi Normal University.

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报告人简介

王明新，1992年任正教授，1994年起享受国务院政府特殊津贴，1998年任博士生导师。在Trans. Amer. Math. Soc., Proc. London Math. Soc., Indiana Univ. Math. J., J. Math. Pures Appl.,Math. Models Meth. Appl. Sci., SIAM J. Math. Anal., SIAMJ, Appl. Math., J. Funct. Anal., Calc. Var, Partial Differ. Equ., J. Differ. Equations, J. London Math. Soc., Nonlinearity, J. Dyn. Diff. Equat. 等刊物发表论文270余篇，科学出版社出版专著5本(4本独著，1本合著)，高等教育出版社出版专著一本(独著)，CRC和Springer出版社分别出版英文著作Nonlinear Second Order Parabolic Equations(独著)和Nonlinear Second Order Elliptic Equations(合著，第一作者)，参与编写了科学出版社出版的“数学大辞典”(王元主编)和大百科全书数学卷部分词条，清华大学出版社出版教材5本。作为第一获奖人，获教育部自然科学二等奖、江苏省科技进步二等奖和教育部科技进步三等奖各1次，获河南省青年科技奖、河南省优秀专家(第二批，1993.01)、江苏省首届青年科学家奖提名奖、江苏省优秀研究生指导教师和华英文化教育基金奖。主持完成国家自然科学基金项目10项，在研一项; 主持完成省部级项目8项。连续多年是高被引学者和全球前2%顶尖科学家。

甘肃省计算数学基础学科研究中心

数学与统计学院

萃英学院

2026年6月27日