摘要
研究了一个非线奇摄动人口问题.在适当的条件下,首先求出了原问题的外部解,然后利用伸长变量和幂级数展开理论构造出解的形式渐近展开式.最后利用微分不等式理论,讨论了问题解的一致有效性.
A nonlinear singularly perturbed population problem is considered. Under suitable conditions, firstly, the outer solution of the original problem is obtained, secondly, using the stretched variable and the expanding theory of power series the formal asymptotic expansions of the solution is constructed, and finally, using the theory of differential inequalities the uniform validity of the solution are studied.
出处
《生物数学学报》
CSCD
北大核心
2007年第4期577-582,共6页
Journal of Biomathematics
基金
Supported by the National Natural Science Foundation of China(40676016)
the National Key Project for Basics Research(2003CB415101-03 and 2004CB418304)
the Key Project of the Chinese Academy of Sciences(KZCX3-SW-221)
in part by E-Institutes of Shanghai Municipal Education Commission(N.E03004)
关键词
非线性
人口问题
奇摄动
渐近解
Nonlinear
Population problem
Singular perturbation
Asymptotic solution
