Time periodic solutions of the diffusive Nicholson blowflies equation with delay
This paper is concerned with the Nicholson blowflies equation with nonlinear diffusion and time delay subject to the homogeneous Dirichlet boundary condition in a bounded domain. We establish the existence of nontrivial periodic solutions of the time-periodic problem under general conditions by cons...
Saved in:
Published in | Nonlinear analysis: real world applications Vol. 22; pp. 44 - 53 |
---|---|
Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Elsevier Ltd
01.04.2015
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | This paper is concerned with the Nicholson blowflies equation with nonlinear diffusion and time delay subject to the homogeneous Dirichlet boundary condition in a bounded domain. We establish the existence of nontrivial periodic solutions of the time-periodic problem under general conditions by constructing a coupled upper–lower solution pair and by applying the Schauder fixed point theorem. The attractivity of the periodic solutions is also discussed by using the monotone iteration method. |
---|---|
Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
ISSN: | 1468-1218 1878-5719 |
DOI: | 10.1016/j.nonrwa.2014.07.014 |