一类具有扩散的传染病模型的渐进稳定性

Asymptotic Stability of a Class of Epidemic Model with Diffusion

讨论了具有空间扩散的传染病系统在齐次Neumann边界条件下解的整体性态.通过线性化方法给出了局部渐近稳定条件,通过构造Lyapunov函数给出了全局稳定性的证明.

This paper intends to discuss solution＇s global behavior of epidemic system with spatial diffusion under homogeneous Neumann boundary condition. A sufficient condition for the local asymptotical stability is given by linearization. The global asymptotical stability is proved through construction of Lyapunov function.