具有阶段结构且发生率为双线性的SIR传染病模型

The SIR epidemic model with stage structure and bilinear incidence rate

将种群分为成年与幼年两个阶段,且只考虑疾病在成年个体中传播,建立了具有阶段结构且发生率为双线性的SIR传染病模型,证明了系统解的有界性,并利用V函数法分析了模型的渐近性质和其平衡点的局部渐近稳定性,并且得到了疾病最终灭绝的条件.

In this paper,the population is divided into two stage of immature and mature. It is considered that the disease spread in mature individuals only. Under these assumptions, the SIR epidemic model with stage structure and hilinear incidence rate is boundness of solution is proved. The asymptotic properties of the model ymptotic stability of the equilibrium point are analyzed by the theory of V f more,the conditions for the eventual extinction of the disease are obtained. constructed. The and the local as- unction. Further-more,the conditions for the eventual extinction of the disease are obtained.