Stability and bifurcation analysis in a single population model with delay and nonlocal interaction

发布者:刘茜茜发布时间:2026-04-10浏览次数:10

江苏省应用数学(中国矿业大学)中心系列学术报告


报告时间:2026416日 15:30-17:30

报告地点:数学学院A321

人: 宋永利教授(杭州师范大学)

报告题目:Stability and bifurcation analysis in a single population model with delay and nonlocal interaction

摘  要:In this talk, we will talk about some single population models with delay and nolocal interaction. Discrete delay, distributed delay and spatiaotemporal delay will be discussed. The stability and Hopf bifurcation for Neumann and Direchlet boundary conditions are investigated. For the distributed delay, our results show that the number of Hopf bifurcation delay values is finite and increasing with the shape parameter $n$, which is significantly different from the discrete delay case The stability and Hopf bifurcation for the diffusive Logistic model with the spatial heterogeneity are also investigated.

报告人简介:

 宋永利,杭州师范大学数学学院教授、博雅学者、教育部新世纪优秀人才、浙江省高等学校“钱江学者”特聘教授、中国生物数学会理事。 主要从事微分方程定性理论、无穷维动力系统的分支理论、斑图动力学的研究工作,取得了一系列高水平的研究成果,在动力系统领域的国际权威期刊SIAM J. Applied Dynamical SystemsNonlinearityJournal of Differential EquationsJournal of Nonlinear ScienceSIAM J. Appl. MathStudies in Applied MathematicsIEEE Transactions on Neural Networks and Learning SystemsPhysica D等发表学术论文100余篇。2014年起连年入选中国高被引学者榜单(数学类)2022年起连年入选斯坦福大学发布的全球前2%顶尖科学家榜单。曾主持多项国家自然基金和省部级重点项目的研究工作。2018年入选浙江省151人才工程第一层次培养人选、 2020年获杭州市优秀教师、浙江省优秀数学教师、杭州师范大学优秀研究生导师和浙江省优秀研究生导师等荣誉称号。研究成果获威海市科学技术一等奖和浙江省自然科学三等奖。