Geodesic
Existence and uniqueness of positive solutions for a nonlocal dispersal population model
Electronic Journal of Differential Equations, Tome 2014 (2014).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a114,
     author = {Sun, Jian-Wen},
     title = {Existence and uniqueness of positive solutions for a nonlocal dispersal population model},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2014},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a114/}
}
TY  - JOUR
AU  - Sun, Jian-Wen
TI  - Existence and uniqueness of positive solutions for a nonlocal dispersal population model
JO  - Electronic Journal of Differential Equations
PY  - 2014
VL  - 2014
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a114/
LA  - en
ID  - EJDE_2014__2014__a114
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
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a114/
%G en
%F EJDE_2014__2014__a114
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__a114/