报告题目： Dynamics of the extended Leslie-Gower model in slow fast setting
时 间：2025年07月21日 (星期一) 9:00-12:00
地 点：科研楼18号楼1102
主 办：数学与统计学院、分析数学及应用教育部重点实验室、福建省分析数学及应用重点实验室、统计学与人工智能福建省高校重点实验室、福建省应用数学中心（福建师范大学）
参加对象：感兴趣的老师和研究生
报告摘要：In this talk, we report our results on dynamics of a generalized Leslie-Gower model with the Holling type II functional response, which was posed in 2003 and whose dynamics has been characterized only in some special conditions. When the growth rate of preys is much faster than that of predators, utilizing both the theories of singular perturbation (SP) and nonstandard SP together with some new technical treatments we classify all its global dynamics. Among which include several new dynamical phenomena, such as the beard explosion and the canard explosion via beard passing nearby a transcritical point, which were never found in the previous studies among other models. Moreover, the application of the quantity A, in determining the singular Hopf bifurcation at a canard point, has been extended and developed.
报告人简介：张祥，上海交通大学特聘教授（二级教授、享受国务院特殊津贴专家）、欧洲科学与艺术院院士。教育部新世纪优秀人才、上海市曙光人才计划和浦江人才计划，中国数学会奇异摄动专业委员会主任。主要从事动力系统的定性、分支和可积理论的研究。主要结果发表在American J. Math.，Trans. Amer. Math. Soc.，Comm. Math. Phys.，J. Differential Equations，J. Functional Analysis，Physical D，SIAM J. Appl. Math.等国际学术期刊上。目前担任两个动力系统的国际SCI杂志IJBC和QTDS的Associate编委。