报告题目 (Title):Dynamics of reaction-diffusion equations with time delay
and free boundaries
中文标题: 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号(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
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.