摘要
研究了一类非线性反应扩散方程奇摄动问题．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和渐近性态．
A class of nonlinear singularly perturbed problems for predator-prey reaction diffusion equations is considered. Under suitable conditions, firstly, the outer solution of the original problem is obtained, secondly, using the stretched variable, variables of multiple scales 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 and asymptotic behavior of the solution are studied.
出处
《生物数学学报》
CSCD
北大核心
2006年第1期1-8,共8页
Journal of Biomathematics
基金
Supported by the National Natural Science Foundation of China (90111011 and 10471039)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-Insitutes of Shanghai Municipal Education Commission (N.E03004)
关键词
非线性
反应扩散
奇摄动
捕食-被捕食
nonlinear
Reaction diffusion
Singular perturbation
Predatorpery
