POSITIVE STATIONARY SOLUTIONS AND SPREADING SPEEDS OF KPP EQUATIONS IN LOCALLY SPATIALLY INHOMOGENEOUS MEDIA

被引：0
|
作者：
Kong, Liang [1 ]
Shen, Wenxian [1 ]
机构：
[1] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA
来源：
METHODS AND APPLICATIONS OF ANALYSIS | 2011年 / 18卷 / 04期
关键词：
KPP equations; random dispersal; nonlocal dispersal; discrete dispersal; localized; spatial inhomogeneity; spreading speed; positive stationary solution; principal eigenvalue; subsolution; super-solution; comparison principle;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The current paper is concerned with positive stationary solutions and spatial spreading speeds of KPP type evolution equations with local (i.e. the standard Laplacian) or nonlocal or discrete dispersal in locally spatially inhomogeneous media. It is shown that such an equation has a unique globally stable positive stationary solution and has a spreading speed in every direction. Moreover, it is shown that the localized spatial inhomogeneity of the medium neither slows down nor speeds up the spatial spreading in all the directions.
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页码：427 / 456
页数：30
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