扩散性SEIS流行病模型的定性分析

Qualitative analysis of an SEIS epidemic model with diffusion

分析了一个描述SEIS流行病模型的反映扩散方程组正解的性质,说明了当全部人口为非常数时反应扩散方程组的正常数稳态解是局部渐进稳定的,从而不存在Turing分歧.该结果对探索传染病传播规律具有一定的意义.

In this paper, a nonlinear SEIS epidemic model which incorporates distinct incidence rates for the exposed and the infected populations is investigated. It is explained when the total population is not a constant, the constant positive steady solution of the reaction-diffusion equations is asymptotical stability, therefore the Turing bifurcations do not exist. It is valuable for exploring the propagation regularity of the infection.