一类具潜伏期和非线性饱和接触率的流行病模型

A Kind of Epidemic Model with Latent Period and Nonlinear Saturation Incidence Rate

研究了一类具潜伏期和非线性饱和接触率βg(I)的SEIS流行病模型,确定了各类平衡点存在的条件阈值,讨论了各平衡点的稳定性。结果表明,一类新传染病在初期若得不到有效控制,它将会与人类长期共存。

Studies a kind of SEIS epidemic model with latent period and nonlinear saturation incidence rate βg(I), the conditions and threshold to the existence of various equilibriums are established, the stability of the equilibriums is discussed. The results indicate that a new kind of epidemic would exist together with man for a long time if it is out of control in early period.