被食者与捕食者的生物数学模型的奇摄动解

本文应用多尺度法研究一种生物数学模型的一阶非线性微分方程组，且构造出解的渐近展开式；并用微分不等式的技巧，证明了原问题的解的存在性，且给出解的一致有效渐近估计。

Singularly Perturbed Solution in the Biomathematical Model of Prey-Predator

In this paper. We consider the first order nonlinear system of a biomathematical model. By using the methods of multiple scales. the asymptotic expansions of solution is constructed. and using the technique of differential inequality, the existence of solution for the oringinal problem is proved and its uniformly valid asymptotic estimation is given.