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:古天乐代言太阳集团数学系
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.