报告人：王毅（中国科学技术大学）

邀请人：李骥

报告时间：2021年7月12日（星期一）16:00-17:30

报告地点： 科技楼（南楼）715室

报告题目：Generic Poincare-Bendixson Theorem for systems with invariant 2-cones and applications to SEIRS epidemic models

报告摘要：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’sGeneric Convergence Theorem in the case k = 1,and yields a generic Poincaré-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

报告人简介：王毅，中国科学技术大学数学学院教授，国家级人才项目获得者。研究领域为非线性微分方程，无限维动力系统及生物数学。