报告地点：行健楼学术活动室526
Abstract: Unlike monotone dynamical systems, it seems more difficult to obtain the global phase portraits of high-dimensional nonmonotone systems in $\mathbb{R}_{+}^{n}$ $(n\geq3)$. In this talk, we consider a three-dimensional nonmonotone system originating from viral infection. To establish its overall dynamics, we introduce an algebraic-topological tool, called the Conley index. On the basis of local analysis, we give the topological classification of the global dynamics of this system and discover some interesting dynamic phenomena.