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Traveling wave phenomena of FitzHugh-Nagumo equations and predator-prey systems
- 来源：
- 学校官网
- 收录时间：
- 2024-12-12 09:14:45
- 时间：
- 2023-12-12 15:00:00
- 地点：
- 腾讯会议 992-314-961
- 报告人：
- 杜增吉 教授
- 学校：
- -/-
- 关键词：
- FitzHugh-Nagumo equations, traveling waves, singular perturbation, predator-prey systems, phase space analysis, geometric singular perturbation theory, Exchange Lemma
- 简介：
- 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.
- -/- 3
报告介绍：
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.
报告人介绍：
杜增吉，江苏师范大学校长、二级教授、博士生导师，中国数学会奇异摄动专业委员会副理事长，江苏省“333高层次人才”中青年科技领军人才、江苏省“青蓝工程”中青年学术带头人。研究方向为微分方程与动力系统、奇异摄动理论及其应用、生物数学等。
