报告题目：A nonlocal diffusion competition model with seasonal succession and free boundaries

报告人：王明新

单位：河南理工大学

时间：2023年2月17日15:00

地点：学院一楼报告厅

摘要：In this paper, we investigate a nonlocal diffusion competition model with seasonal succession and free boundaries, which can be used to describe the dynamics of two species in an environment alternating between bad and good seasons. We first show the existence and uniqueness of global solution, and then focus on the long time behaviors of two species, namely, if $h_{\infty}-g_{\infty}<\infty$ (the two species cannot spread over $\mathbb{R}$), then they must die out in the long run; If $h_{\infty}=-g_{\infty}=\infty$ (the two species spread to infinity as $t\to\infty$ at both fronts and survives in the new environment), then they must tend to the unique positive time periodic solution. Moreover, some sufficient conditions for spreading and vanishing are also given.

简介：王明新，河南理工大学特聘教授，1994年起享受国务院政府特殊津贴。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.，SIAM J. 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出版社出版英文著作“Nonlinear Second Order Parabolic Equations”(独著)，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4本。作为第一获奖人，获教育部自然科学奖二等奖、江苏省科技进步奖二等奖和教育部科技进步奖三等奖各1次，获河南省青年科技奖、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9项。