报告题目 (Title)：Dynamics of reaction-diffusion equations with time delay and free boundaries （带时滞和自由边界的反应扩散方程的动力学行为）

报告人 (Speaker)：孙宁奎 副教授 （山东师范大学）

报告时间 (Time)：2024年3月27日（周三）14:00

报告地点 (Place)：校本部F309

邀请人(Inviter)：席东盟、李晋、张德凯

主办部门：理学院数学系

报告摘要：We study the dynamics of a population with an age structure whose population range expands with time. After establishing the well-posedness of the model, we obtain a rather complete description of its long-time dynamical behaviour, which is shown to follow a spreading-vanishing dichotomy. When spreading persists, we show that the population range expands with an asymptotic speed, which is uniquely determined by an associated nonlocal elliptic problem over the half line.