# American Institute of Mathematical Sciences

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January  2011, 29(1): 343-366. doi: 10.3934/dcds.2011.29.343

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

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

Received  January 2010 Revised  July 2010 Published  September 2010

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.
Citation: Peixuan Weng, Xiao-Qiang Zhao. Spatial dynamics of a nonlocal and delayed population model in a periodic habitat. Discrete & Continuous Dynamical Systems - A, 2011, 29 (1) : 343-366. doi: 10.3934/dcds.2011.29.343
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