报告题目:Traveling wavefronts of a delayed temporally discrete reaction-diffusion equation
报告人:郭志明 教授 (邀请人:李时敏)
时间:2021年4月23日(周五)15:00-18:00
地点:北二540
报告提纲:
With the growth of a single species with age structure on an unbounded domain as a prototype, we derive a delayed temporally discrete reaction-diffusion equation. The main result is on the existence of traveling wavefront solutions of the equation. We first transform the problem into that on the existence of fixed points of a mapping. Then by successfully constructing a pair of upper and lower solutions, we establish the existence of traveling wavefront by applying the upper-lower solution method.
报告人简介:
郭志明,广州大学数学与信息科学学院教授、博士生导师。2001年博士毕业于中山大学,2009年在加拿大西安大略大学访问一年。多年来一直从事离散系统、泛函微分方程及生物数学模型的理论与应用研究,在《Journal of Differential Equations》、《Journal of London Mathematical Society》、《Journal of Dynamics and Differential Equations》、《Journal of Mathematical Biology》、《中国科学》等国际国内重要刊物上发表论文70多篇,其中SCI收录50多篇。先后主持国家自然科学基金面上项目3项、参加国家自然科学基金重点项目1项。