AN APPROXIMATION TO A SHARP TYPE SOLUTION OF A DENSITY-DEPENDENT REACTION-DIFFUSION EQUATION

被引：0

作者：

GARDUNO, FS ^{[1
]}

MAINI, PK ^{[1
]}

机构：

[1] UNIV OXFORD,CTR MATH BIOL,INST MATH,OXFORD OX1 3LB,ENGLAND

来源：

APPLIED MATHEMATICS LETTERS | 1994年 / 7卷 / 01期

关键词：

TRAVELING WAVES; WAVESPEED; PERTURBATION METHOD; SHARP SOLUTIONS; DENSITY-DEPENDENT DIFFUSION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use a perturbation method to obtain an approximation to a saddle-saddle heteroclinic trajectory of an autonomous system of ordinary differential equations (ODEs) arising in the equation ut = [(u + epsilonu2)ux]x + u(1 - u) in the case of travelling wave solutions (t.w.s.): u(x, t) = phi(x - ct). We compare the approximate form of the solution profile and speed thus obtained with the actual solution of the full model and the calculated speed, respectively.

引用

页码：47 / 51

页数：5

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