走向现代数学学术报告 – 唐德副教授（No. 990)

报告题目：Existence of positive steady-state solutions to the SKT competition system with cross-diffusion

报 告 人：唐德 副教授（中山大学）

邀 请 人：李健 教授， 于涛 副教授， 王昕晟 副教授

报告时间：2026年11月15日 10点

报告地点：东海岸校区D209

报告摘要：We consider a stationary Shigesada-Kawasaki-Teramoto competition system with cross-diffusion. The existence and stability/instability of non-constant positive solutions of the system has been widely studied in the literature but confined to some special parameter range. In this talk, we establish the existence/nonexistence of non constant positive solutions for some other parameter range, which  fills some gaps left out in the existing results. In particular, we find some conditions under which multiple positive solutions exist.

报告人简介：中山大学副教授，硕士生导师。研究方向为：微分方程、动力系统、生物数学。以第一作者/或通讯作者在SIMA、Nonlinearity、 Journal of Differential Equations、 Journal of Dynamics and Differential Equations、Journal of Mathematical Biology、SIAM Journal on Applied Dynamical Systems等杂志发表论文十余篇。