American Institute of Mathematical Sciences

March  2015, 20(2): 385-395. doi: 10.3934/dcdsb.2015.20.385

Asymptotic behavior for a reaction-diffusion population model with delay

 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, United States

Received  May 2014 Revised  August 2014 Published  January 2015

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.
Citation: Keng Deng, Yixiang Wu. Asymptotic behavior for a reaction-diffusion population model with delay. Discrete & Continuous Dynamical Systems - B, 2015, 20 (2) : 385-395. doi: 10.3934/dcdsb.2015.20.385
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