带时滞和自由界线的反应扩散方程的动力学行为

2024.03.27

投稿:龚惠英部分:理学院浏览次数:

活动信息

报告问题 (Title):Dynamics of reaction-diffusion equations with time delay and free boundaries (带时滞和自由界线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

报告所在 (Place):校本部F309

约请人(Inviter):席东盟、李晋、张德凯

主理部分: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.

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