摘要
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。
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.
基金
国家自然科学基金
关键词
奇摄动解
生物数学模型
捕食
被食
Singular perturbation, The methods of multiple scales, Differential inequality.
