Geodesic
Existence and uniqueness of positive solutions for a nonlocal dispersal population model
Electronic journal of differential equations, Tome 2014 (2014)
In this article, we study the solutions of a nonlocal dispersal equation with a spatial weight representing competitions and aggregation. To overcome the limitations of comparison principles, we introduce new definitions of upper-lower solutions. The proof of existence and uniqueness of positive solutions is based on the method of monotone iteration sequences.
Classification : 35B40, 35K57, 92D25
Keywords: nonlocal dispersal, upper-lower solutions, aggregation, existence and uniqueness 
@article{EJDE_2014__2014__a14,
     author = {Sun,  Jian-Wen},
     title = {Existence and uniqueness of positive solutions for a nonlocal dispersal population model},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1298.35237},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a14/}
}
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JO  - Electronic journal of differential equations
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VL  - 2014
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ID  - EJDE_2014__2014__a14
ER  - 
%0 Journal Article
%A Sun,  Jian-Wen
%T Existence and uniqueness of positive solutions for a nonlocal dispersal population model
%J Electronic journal of differential equations
%D 2014
%V 2014
%U http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a14/
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%F EJDE_2014__2014__a14
Sun,  Jian-Wen. Existence and uniqueness of positive solutions for a nonlocal dispersal population model. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a14/