Positive solutions for nonlocal dispersal equation

In the present paper, we consider the positive solutions of a class of degenerate logistic equations with nonlocal dispersal. By employing upper-lower solutions, we establish the existence and uniqueness of positive solutions. Our interesting result exhibits that the spatial degeneracy does not make a change on positive solutions. (C) 2021 Elsevier Ltd. All rights reserved.

Automated summary

In this paper, we study the positive solutions of a class of degenerate logistic equations with nonlocal dispersal. By using upper-lower solutions, we establish the existence and uniqueness of positive solutions. Our interesting result shows that spatial degeneracy does not alter the positive solutions.