Dynamics of predator-prey models with Sigmoid functional response

主讲人：张祥 上海交通大学特聘教授

时间：2022年11月4日19：30

地点：腾讯会议 686 200 361

举办单位：数理学院

主讲人介绍：张祥，上海交通大学特聘教授、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, 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、以及IJBC和QTDS等SCI杂志的编委等。

内容介绍：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, Bogdanov-Takens bifurcation, relaxation oscillation, canard explosion, homoclinic and heteroclinic connections and so on. The main tools are qualitative and bifurcation theories via singular perturbation. This is a joint work with SU Wei.