Asymptotic behavior for a reaction-diffusion population model with delay

Keng Deng; Yixiang Wu

doi:10.3934/dcdsb.2015.20.385

Article Contents

2015, Volume 20, Issue 2: 385-395. Doi: 10.3934/dcdsb.2015.20.385

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Asymptotic behavior for a reaction-diffusion population model with delay

Keng Deng^1, and
Yixiang Wu^2,

1.
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504-1010
2.
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504

Received: May 2014

Revised: August 2014

Published: March 2015

Abstract / Introduction Related Papers Cited by

Abstract

In this paper, we study a reaction-diffusion population model with time delay. We establish a comparison principle for coupled upper/lower solutions and prove the existence/uniqueness result for the model. We then show the global asymptotic behavior of the model.

Keywords:

Mathematics Subject Classification: 35A01, 35B40, 35K57, 92D25.

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