Existence of periodic probability measure solutions to Fokker-Planck equations for SDEs with random switching

发布者:文明办发布时间:2025-11-04浏览次数:10

主讲人:李丹 安徽大学副教授


时间:2025年11月6日15:30


地点:三号楼332室


举办单位:数理学院


主讲人介绍:李丹,理学博士,安徽大学副教授。主要从事生物数学中种群与传染病系统随机方法建模和动力学理论分析研究。作为项目负责人承担国家自然科学基金项目2项,作为主要参加者参与国家自然科学基金面上项目1项,在包括Journal of Differential Equations,Journal of Mathematical Biology, Bulletin of Mathematical Biology等应用数学领域学术期刊上发表论文十多篇。


内容介绍:In this talk, we will discuss the existence of periodic probability measure solutions to the Fokker-Planck equation for a periodic stochastic differential equation driving by a continuous-time, discrete-state jump process. Based on these results, we establish a Lyapunov function criterion for the existence of periodic probability measure solutions to the Fokker-Planck equation in both non-degenerate and degenerate cases.