Evolution of mixed dispersal in periodic environments

Chiu-Yen Kao; Yuan Lou; Wenxian Shen

doi:10.3934/dcdsb.2012.17.2047

Article Contents

2012, Volume 17, Issue 6: 2047-2072. Doi: 10.3934/dcdsb.2012.17.2047

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Evolution of mixed dispersal in periodic environments

1.
Department of Mathematics, The Ohio State University, Columbus, OH 43210
2.
Department of Mathematics, Mathematical Bioscience Institute, Ohio State University, Columbus, Ohio 43210
3.
Department of Mathematics and Statistics, Auburn University, Auburn University, AL 36849-5310

Received: March 31, 2011

Revised: April 30, 2011

Published: August 2012

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Abstract

Random dispersal describes the movement of organisms between adjacent spatial locations. However, the movement of some organisms such as seeds of plants can occur between non-adjacent spatial locations and is thus non-local. We propose to study a mixed dispersal strategy, which is a combination of random dispersal and non-local dispersal. More specifically, we assume that a fraction of individuals in the population adopt random dispersal, while the remaining fraction assumes non-local dispersal. We investigate how such mixed dispersal affects the invasion of a single species and also how mixed dispersal strategy will evolve in spatially heterogeneous but temporally constant environment.

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Mathematics Subject Classification: Primary: 35K57; Secondary: 45K05, 47G20, 92D25.

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