题目1:Uniform Persistence and Coexistence States for Biological Evolution Systems
报告人: Professor Xiaoqiang Zhao, Memorial University of Newfoundland, Canada
报告时间:2025年12月8日15:00-16:00
报告时间:北五427
Abstract: In this talk, I will briefly review the concepts of uniform persistence and coexistence states for biological evolution systems. Then I will present the theory of abstract and practical persistence. Finally I will discuss three application examples.
题目2:Threshold Dynamics for Monotone and Subhomogeneous Systems
报告人: Professor Xiaoqiang Zhao, Memorial University of Newfoundland, Canada
报告时间:2025年12月8日16:30-17:30
报告时间:北五427
Abstract: In this talk, I will first introduce the concepts of monotone and subhomogeneous systems and present two global convergence results. Then we establish a threshold type theorem via the linear stability of the zero solution. Finally, we apply it to three single species growth models governed a periodic ODE, an autonomous PDE and a nonlocal dispersal equation, respectively.
赵晓强教授个人简介: 赵晓强,加拿大纽芬兰纪念大学数学与统计系教授,该校University Research Professorship荣誉获得者。赵教授先后于1983年和1986年在西北大学数学系获学士和硕士学位,1990年在中国科学院应用数学研究所获博士学位。赵教授长期从事动力系统、微分方程和生物数学相关领域的研究,在单调动力学、一致持久性、行波解和渐近传播速度、主特征值、基本再生数的理论及应用等方面的系列工作受到同行的广泛关注和引用。迄今为止,他已在“Comm. Pure Appl. Math.、 J. Eur. Math. Soc.、 J. reine angew. Math.、 J. Math. Pures Appl.、Trans. Amer. Math. Soc.、SIAM J. Math. Anal.” 等国际知名期刊上发表论文180余篇,并在Springer出版专著“Dynamical Systems in Population Biology”。赵教授个人主页:https://www.math.mun.ca/~zhao/