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            Spatial Dynamics of a Nonlocal Dispersal Population Model in a Shifting Environment

            發布者:文明辦作者:發布時間:2022-06-03瀏覽次數:10


            主講人:趙曉強 加拿大紐芬蘭紀念大學教授


            時間:2022年6月7日19:30


            地點:騰訊會議 552 829 277


            舉辦單位:數理學院


            主講人介紹:趙曉強,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。趙教授先后于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、一致持久性、行波解和漸近傳播速度、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100余篇,并在Springer出版專著“Dynamical Systems in Population Biology”。


            內容介紹:We consider the spatial dynamics of a nonlocal dispersal population model in a shifting environment where the favorable region is shrinking. It is shown that there exists a critical number c* such that the species becomes extinct in the habitat if the speed of the shifting habitat edge is greater than c*, while the species persists and spreads along the shifting habitat if this speed is less than c*. Further, we establish the existence, uniqueness and global exponential stability of the forced traveling wave with the wave speed at which the habitat is shifting.



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