題  目：Spatial Dynamics of Species with Annually Synchronized Emergence of Adults

内容簡介：In this talk, I will report our research on the spatial dynamics of species growth with annually synchronous emergence of adults by formulating an impulsive reaction-diffusion model. With the aid of the discrete-time semiflow generated by the one-year solution map, we establish the existence of the spreading speed and traveling waves for the model on an unbounded spatial domain. It turns out that the spreading speed coincides with the minimal speed of traveling waves, regardless of the monotonicity of the birth rate function. We also investigate the model on a bounded domain with a lethal exterior to determine the critical domain size to reserve species persistence. Numerical simulations are illustrated to confirm the analytical results and to explore the effects of the emergence maturation delay on the spatial dynamics of the population distribution. In particular, the relationship between the spreading speed and the emergence maturation delay is found to be counterintuitively variable.

報告人：趙曉強

報告人簡介：加拿大紐芬蘭紀念大學數學與統計系教授，該校University Research Professorship榮譽獲得者。趙教授先後于1983年和1986年在西北大學數學系獲學士和碩士學位，1990年在中國科學院應用數學研究所獲博士學位。趙教授長期從事動力系統、微分方程和生物數學相關領域的研究，在單調動力學、一緻持久性、行波解和漸近傳播速度、主特征值、基本再生數的理論及應用等方面的系列工作受到同行的廣泛關注和引用。迄今為止，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.” 等國際知名期刊上發表論文180餘篇，并在Springer出版專著“Dynamical Systemsin Population Biology”。趙教授個人主頁：https://www.math.mun.ca/~zhao/

時  間：2024年7月1日（周一）下午16：30開始

地  點：南海樓224數學系會議室

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2024年7月1日