On a diffusive logistic equation

被引：39

作者：

Afrouzi, GA

Brown, KJ

机构：

[1] Mazandaran Univ, Dept Math, Babolsar, Iran

[2] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 225卷 / 01期

关键词：

D O I：

10.1006/jmaa.1998.6044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a reaction-diffusion version on all of R-N of the logistic equation of population growth in which the birth rate depends on the spatial variable and may assume both positive and negative values. Our results which are obtained by the construction of sub- and supersolutions and the study of asymptotic properties of solutions show the interplay between the birth rate of the species and the extent of diffusion in determining the existence or nonexistence of nontrivial steady-state distributions of population. (C) 1998 Academic Press.

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页码：326 / 339

页数：14

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