一类带有复发的海洛因传染病模型的全局稳定性

摘要

建立并研究了一类带有复发的海洛因传染病ODE模型，给出了海洛因传染病模型的基本再生数，讨论了模型平衡点存在性，证明了模型平衡点的局部渐近稳定性和全局渐近稳定性。%In this paper,an ODE model of the heroin epidemic with relapse is formulated and studied.First, the basic reproduction number of the heroin spread is also identified.Next,we discuss the existence of equilibria and prove their locally and globally asymptotical stability of equilibria.