A NEW TRAVELING-WAVE SOLUTION OF FISHER EQUATION WITH DENSITY-DEPENDENT DIFFUSIVITY

被引：9

作者：

HAYES, CK ^{[1
]}

机构：

[1] CALTECH, DEPT APPL MATH, PASADENA, CA 91125 USA

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 1991年 / 29卷 / 06期

关键词：

FISHER EQUATION; TRAVELING WAVES; VARIABLE DIFFUSIVITY;

D O I：

10.1007/BF00164050

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A new traveling-wave solution of Fisher's equation is found when the diffusivity is taken to be a smoothed step function of the dependent variable. The form of the solution and a necessary relationship between the traveling wave's speed and the diffusivity are predicted. This is done using flux continuity considerations in the limit when the diffusivity is piecewise constant. The predicted form is verified by numerical integration of the equation with a slightly smoothed step function diffusivity.

引用

页码：531 / 537

页数：7

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