Spatial dynamics of a nonlocal and delayed population model  in  a periodic habitat

Peixuan Weng; Xiao-Qiang Zhao

doi:10.3934/dcds.2011.29.343

Article Contents

2011, Volume 29, Issue 1: 343-366. Doi: 10.3934/dcds.2011.29.343

This issue Previous Article Global dissipativity and inertial manifolds for diffusive burgers equations with low-wavenumber instability Next Article Limit theorems for optimal mass transportation and applications to networks

Spatial dynamics of a nonlocal and delayed population model in a periodic habitat

Peixuan Weng^1, and
Xiao-Qiang Zhao^2,

1.
School of Mathematics, South China Normal University, Guangzhou 510631
2.
Department of Mathematics, Memorial University of Newfoundland, St. John's, NL A1C 5S7

Received: December 31, 2009

Revised: June 30, 2010

Published: December 2010

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Abstract

We derived an age-structured population model with nonlocal effects and time delay in a periodic habitat. The spatial dynamics of the model including the comparison principle, the global attractivity of spatially periodic equilibrium, spreading speeds, and spatially periodic traveling wavefronts is investigated. It turns out that the spreading speed coincides with the minimal wave speed for spatially periodic travel waves.

Keywords:

Age-structured population model,
periodic habitat,
nonlocal effect,
spreading speeds,
spatially periodic traveling wavefronts.

Mathematics Subject Classification: Primary: 35K57, 34K30; Secondary: 92D25.

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