# American Institute of Mathematical Sciences

August  2013, 33(8): 3443-3472. doi: 10.3934/dcds.2013.33.3443

## Spreading speeds of $N$-season spatially periodic integro-difference models

 1 Wu Wen-Tsun Key Laboratory of Mathematics and School of Mathematical Science, University of Science and Technology of China, Hefei, Anhui 230026, China, China, China

Received  May 2012 Revised  August 2012 Published  January 2013

In this paper, the spreading speeds of $N$-season spatially periodic integro-difference models are investigated. The variational formula of the spreading speeds is given via the principal eigenvalues of the respective positive linear operators. The effects of the spatial and temporal distribution of the intrinsic growth rates on the spreading speeds are considered.
Citation: Weiwei Ding, Xing Liang, Bin Xu. Spreading speeds of $N$-season spatially periodic integro-difference models. Discrete & Continuous Dynamical Systems, 2013, 33 (8) : 3443-3472. doi: 10.3934/dcds.2013.33.3443
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