Travelling wave of FitzHugh-Nagumo equation and predator-prey model

主题:Travelling wave of FitzHugh-Nagumo equation and predator-prey model

主讲人:杜增吉

时间:2023-11-24 09:00:00

地点:松江校区2号学院楼235

组织单位:理学院

主讲人简介:

杜增吉,江苏师范大学副校长、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、江苏省重点学科负责人、江苏省工程研究中心主任、江苏省优秀教育工作者。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。在 J. Funct. Anal., J. Nonlinear Sci., J. Differential Equations, J. Math. Biol., Proc. AMS和《中国科学数学》等数学期刊上发表论文80余篇。主持国家自然科学基金项目6项,参加国家自然科学基金重大项目1项。获江苏省数学成就奖,江苏省优秀教学成果奖二等奖,山东省自然科学奖二等奖等,先后担任多个数学SCI杂志编委。

内容摘要:

In this talk, we mainly investigate a coupled FitzHugh-Nagumo (FHN) equation with doubly-diffusive effect and local time delay. 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 the traveling wave phenomena, stability and Hopf bifurcation of competition-diffusion-advection equations and predator-prey systems etc.

组织单位:理学院

撰写:李学元