Journal
JOURNAL OF BIOLOGICAL DYNAMICS
Volume 6, Issue 2, Pages 395-405Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/17513758.2011.588341
Keywords
nonlocal dispersal; intergrodifferential equations; ideal free distribution; evolutionarily stable strategy; evolution of dispersal
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Funding
- NSF [DMS-0816068]
- Fondecyt [1090167, 1090183]
- Basal project CMM Universidad de Chile
- UMI 2807 CNRS
- CAPDE Anillo [ACT-125]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0816068] Funding Source: National Science Foundation
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We study the evolutionary stability of nonlocal dispersal strategies that can produce ideal free population distributions, that is, distributions where all individuals have equal fitness and there is no net movement of individuals at equilibrium. We find that the property of producing ideal free distributions is necessary and often sufficient for evolutionary stability. Our results extend those already developed for discrete diffusion models on finite patch networks to the case of nonlocal dispersal models based on integrodifferential equations. The analysis is based on the use of comparison methods and the construction of sub-and supersolutions.
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