Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Volume 17, Issue 6, Pages 2047-2072Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdsb.2012.17.2047
Keywords
Non-local dispersal; random dispersal; competition; reaction-diffusion; integral kernel
Categories
Funding
- NSF grant [DMS-0811003, DMS-1021179, DMS-0907752]
- Alfred P. Sloan Fellowship
- Mathematical Biosciences Institute
- National Science Foundation [DMS-0931642]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1318364] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1021179] Funding Source: National Science Foundation
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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 heterogenous but temporally constant environment.
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