一类具有扩散的SI传染病模型

The study on a kind of diffusive SI epidemic model

研究了一类描述具有扩散的传染病模型的偏微分方程组,应用反应扩散方程的单调方法和不变区域理论,得到了解的有界性及传染病能否传播的阈值,结果对于实际有一定的指导意义。

A system of partial differential equations that describes a kind of diffusive IS epidemic is considered. Using monotone method and invariant region theory for the system of reactiondiffusion equations, the boundedness of solutions and threshold value result of the epidemic are obtained. The results can be used for prodicting and preventing the epidemic.