Dynamics of Predator-Prey Models with Sigmoid Functional Response

报告时间：2022年12月09日15:00-16:00
腾讯会议ID：657-835-870
Dynamics of Predator-Prey Models with Sigmoid Functional Response

Abstract：This talk introduces our results on the global dynamics of the predator-prey models with Sigmoid functional response. The main results are on global stability of the positive equilibrium, sub-and supercritical Hopf bifurcation, relaxation oscillation, canard explosion, homoclinic and heteroclinic connections and so on. The main tools are qualitative and bifurcation theories via singular perturbation. The materials reported here contain the joint works with Xianfeng Chen and Wei Su.

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、欧洲科学与艺术院院士。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., Comm. Math. Phys., J. Differential Equations, J. Functional Analysis, Physica D, Trans. Amer. Math. Soc. 等国际学术期刊上。目前担任中国数学会奇异摄动专业委员会主任、中国数学会理事等。
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