题目: Dynamics of reaction-diffusion equations with time delay and free boundaries

时间：2024年5月15日, 17:00—18:00

地点：数学楼304

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.

个人简介：孙宁奎，山东师范大学副教授，2016年于同济大学获得理学博士学位，研究方向为非线性偏微分方程和生物数学，发表论文10余篇，部分成果发表在Math. Ann., Calc. Var. Partial Differential Equations, J. Differential Equations等期刊。主持国家自然科学基金青年项目1项，山东省优秀青年基金1项，山东省青创团队项目1项。