具有潜伏期的无免疫型传染病动力学模型的分析

The Analysis for Dynamic Model of Infectious Diseases without Immunity and with Latent Period

研究了一类具有潜伏期的无免疫型传染病动力学模型,用摄动理论讨论分析了相应的非线性系统,得到了不同群体生存变化的渐近表达式,从而揭示了各种作用对不同群体生存影响的规律.本文的研究为解决一些类型的非线性模型提供了一种有效的方法.

The dynamic model for the infectious diseases without immunity and with latent period is considered.Using the perturbed theory,the nonlinear system is operated,the asymptotic expansion for the livability of each group is obtained,the infection to the livability of each group for each action is discovered.Thus,under this paper an available method is given to estimate the solution of some class of nonlinear problems.