报告人: 王毅(中国科学技术大学，国家杰出青年基金获得者)

时间：2021年12月10日 19:00-20:00  

腾讯会议：会议ID：385 228 359

摘要：In this talk, we consider a smooth flow which is monotone w.r.t. a k-cone, a closed set that contains a linear subspace of dim-k and no linear subspaces of higher dimension. We show that orbits with initial data from an open dense (called generic) subset of the phase space are either pseudo-ordered or convergent to equilibria. This covers the celebrated Hirsch's Generic Convergence Theorem in the case k=1, and yields a generic Poincare-Bendixson Theorem for the case k=2. An application to SEIRS-models with nonlinear incidence rates will be presented to show the possibility of generic convergence to periodic orbits. This is a joint work with Lirui Feng and Jianhong Wu.

邀请人:杨大伟