报告题目：Dynamics of the reaction-diffusion models in advective environments
报告人： 杜增吉
报告时间：2025年6月14日，14：00-15：30
报告地点：数学楼2-3
报告摘要：In this talk, we discuss the dynamics of traveling wave solutions connecting different equilibria for a spatial eco-epidemiological predator-prey system in advective environments. After applying the traveling wave coordinates, these solutions correspond to heteroclinic orbits in phase space. We investigate the existence of the traveling wave solution connecting from a boundary equilibrium to a co-existence equilibrium by using a shooting method and constructing Lyapunov-type function. Furthermore, the existence of traveling wave solutions between co-existence equilibria are also proved by utilizing the qualitative theory and the geometric singular perturbation theory.
个人简介：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，江苏省重点学科数学负责人、国家级一流本科课程《常微分方程》负责人。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。在J. Funct. Anal., J. Nonlinear Sci., J. Differential Equations,J. Math. Biol.等数学期刊上发表SCI 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项目重大1项。获得省自然科学奖二等奖、省优秀教学成果奖二等奖和省数学成就奖等。
