报告时间：2025年11月26日 14：00-15：00

报 告 人：张祥教授（上海交通大学）

报告地点：腾讯会议 404-899-947

报告题目：Global dynamics of the extended Leslie-Gower model in slow fast setting

内容摘要：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.

主讲人简介：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.，Adv.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。