HIV传播人群生态动力学模型的匹配解

Matched Solution for Bionomics Dynamic Model of HIV Propagation in Human Groups

利用奇摄动方法研究一类HIV传播的动力学模型,先构造模型解的外部解和内层解,再进行匹配,得到了模型解的合成展开式,并对解进行了精度比较,证实了渐近展开式具有较高的精度.结果表明,得到的近似解可以描述流行性传染病区域的人群传播规律.

A class of mode for HIV propagation dynamics was studied.By means of the singular perturbation method,firstly,the outer solution and interior solution were constructed;secondly,they were matched,obtaining composite expansions of solution for the model;finally,comparing the accuracies for the solutions verifies the asymptotic expansion possesses a better accuracy.Finded approximate solution may describe the law of HIV propagation in the crowd of epidemics region.