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