一类具有阶段结构的SIS传染病模型的稳定性

Stability of A SIS Epidemic Model with Stage-structure

讨论了具有阶段结构并且含有出生函数的SIS传染病模型,研究了无病平衡点和正平衡点的局部稳定性和全局稳定性,得到了传染病最终消失和成为地方病的阈值。

This paper considered a SIS epidemic model that incorporates stage-structure and ruction of birth. The local stability and global stability of epidemic equilibrium are proved, The endemic threshold is found which the epidemic will endemic or die out.