Propagation Dynamics of Two-species Competition Models

主讲人：加拿大纽芬兰纪念大学 赵晓强

时间：2025年9月18日10：00

地点：数理学院332室

举办单位：数理学院

主讲人介绍：赵晓强，加拿大纽芬兰纪念大学数学与统计系教授，该校University Research Professorship荣誉获得者。赵教授先后于1983年和1986年在西北大学数学系获学士和硕士学位，1990年在中国科学院应用数学研究所获博士学位。赵教授长期从事动力系统、微分方程和生物数学相关领域的研究，在单调动力学、一致持久性、行波解和渐近传播速度、主特征值、基本再生数的理论及应用等方面的系列工作受到同行的广泛关注和引用。迄今为止，他已在“Comm. Pure Appl. Math.、 J. Eur. Math. Soc.、 J. reine angew. Math.、 J. Math. Pures Appl.、Trans. Amer. Math. Soc.、SIAM J. Math. Anal.” 等国际知名期刊上发表论文180余篇，并在Springer出版专著“Dynamical Systems in Population Biology”。

内容介绍：In this talk, I will report our recent research on the propagation dynamics of a Lotka-Volterra two-species competition system in a periodic discrete habitat. Under appropriate assumptions, we show that a semi-trivial equilibrium is globally stable for the spatially periodic initial value problem. Then we establish the existence of the rightward spreading speed and its coincidence with the minimal wave speed for the spatially periodic rightward traveling waves. We further obtain sufficient conditions for the linear determinacy of the rightward spreading speed. Finally, we apply these results to a specific model of two-species competition and conduct numerical simulations for the spreading speed and traveling waves.