报告人：王智诚教授，兰州大学

报告题目：Propagation Dynamics of a Nonlocal Time-Space Periodic Reaction- Diffusion Model with Delay

报告摘要：In this talk, we consider a nonlocal time-space periodic reaction-diffusion  model with stage structure. We first prove the existence and global attractivity of  time-space periodic solution for the model. Next, by a family of  principal eigenvalues associated with linear operators, we characterize the asymptotic speed of spread of the model in the monotone and non-monotone cases. Furthermore, we introduce a notion of transition semi-waves for the model, and then by constructing   appropriate upper and lower solutions, and using the results of the asymptotic speed of spread, we show that transition semi-waves exist when their wave speeds are above than a critical speed, and transition semi-waves do not exist anymore when their wave speeds are less than the critical speed. It turns out that the asymptotic speed of spread coincides with the critical wave speed of  transition semi-waves. Finally, numerical simulations for various cases are carried out to support our theoretical results.

报告时间：2021年4月29日8:30

报告地点：腾讯会议，会议ID：576 481 387

          网址：https://meeting.tencent.com/s/l12t4xOkOU39

报告人简介：王智诚，男，甘肃庄浪人，兰州大学数学与统计学院教授，甘肃省飞天学者特聘教授，博士生导师。1994年本科毕业于西北师范大学，2007年在兰州大学获理学博士学位。在Trans. AMS、SIAM J. Math. Anal.、SIAM J. Appl. Math.、JMPA、Calc. Var. PDE、JDE、JDDE、Nonlinearity、J. Math. Biol.、J. Nonlinear Sci等杂志发表SCI论文90多篇。2010年入选教育部新世纪优秀人才支持计划，2011和2019年分别获得甘肃省自然科学二等奖，2016年入选甘肃省飞天学者特聘教授，主持完成两项国家自然科学基金面上项目以及教育部博士点基金等多项省部级项目，正在主持一项国家自然科学基金面上项目并参加一项国家自然科学基金重点项目。目前担任两个SCI杂志International  J.  Bifurc. Chaos 和Mathematical Biosciences and Engineering (MBE) 的编委（Associate editor）。