Evolution of mixed dispersal in periodic environments

Pages: 2047 - 2072, Volume 17, Issue 6, September 2012

doi:10.3934/dcdsb.2012.17.2047       Abstract        References        Full Text (378.0K)       Related Articles

Chiu-Yen Kao - Department of Mathematics, The Ohio State University, Columbus, OH 43210, United States (email)
Yuan Lou - Department of Mathematics, Mathematical Bioscience Institute, Ohio State University, Columbus, Ohio 43210, United States (email)
Wenxian Shen - Department of Mathematics and Statistics, Auburn University, Auburn University, AL 36849-5310, United States (email)

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.

Keywords:  Non-local dispersal, random dispersal, competition, reaction-diffusion, integral kernel.
Mathematics Subject Classification:  Primary: 35K57; Secondary: 45K05, 47G20, 92D25.

Received: April 2011;      Revised: May 2011;      Published: May 2012.

 References