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...

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Bibliographic Details
Published inNonlinear analysis: real world applications Vol. 22; pp. 44 - 53
Main Authors Pang, Peter Y.H., Wang, Yifu
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.04.2015
Subjects
Attractivity
Boundary conditions
Delay
Diffusion
Dirichlet problem
Joining
Mathematical analysis
Nonlinear diffusion equation
Nonlinearity
Periodic solution
Time delay
Attractivity
Time delay
Periodic solution
Nonlinear diffusion equation
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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