主講人：杜增吉 江蘇師范大學教授

時間：2024年12月1日9：00

地點：三號樓332室

舉辦單位：數理學院

主講人介紹：杜增吉，江蘇師范大學校長、二級教授、博士生導師，中國數學會奇異攝動專業委員會副理事長，江蘇省“333高層次人才”中青年科技領軍人才、江蘇省“青藍工程”中青年學術帶頭人。研究方向為微分方程與動力系統、奇異攝動理論及其應用、生物數學等。在 J. Funct. Anal., J. Nonlinear Sci., J. Differential Equations, J. Math. Biol., Proc. AMS 和《中國科學數學》等數學期刊上發表論文80余篇。主持國家自然科學基金項目6項，參加國家自然科學基金項目重大1項。獲得省自然科學獎二等獎、省優秀教學成果獎二等獎和省數學成就獎等，先后擔任多個數學SCI雜志編委。

內容介紹：In this talk, we mainly investigate a coupled FitzHugh -Nagumo (FHN) equation with doubly-diffusive effect and local time delay, which was derived as a simplification of the Hodgkin-Huxley equations for nerve impulse propagation. The singular orbits are constructed by analyzing limit dynamics of the equations in the traveling wave framework by means of phase space analysis. To establish the traveling pulses for the full system, the main analysis relies on exterior differential forms, the geometric singular perturbation theory and Exchange Lemma. We also discuss a three-dimensional diffusive predator-prey system with nonlocal terms and holling II type functional response and obtain the traveling wave.