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Clustering determines the survivor for competing Brownian and L'evy walkers | | Els Heinsalu
; Emilio Hernández-Garcia
; Cristóbal López
; | | Date: |
25 May 2013 | | Abstract: | The competition between two ecologically similar species that use the same
resources and differ from each other only in the type of spatial motion they
undergo is studied. The latter is assumed to be described either by Brownian
motion or L’evy flights. Competition is taken into account by assuming that
individuals reproduce in a density-dependent fashion. It is observed that no
influence of the type of motion occurs when the two species are in a well-mixed
unstructured state. However, as soon as the species develop spatial clustering,
the one forming more concentrated clusters gets a competitive advantage and
eliminates the other. Similar competitive advantage would occur between walkers
of the same type but with different diffusivities if this leads also to
different clustering. Coexistence of both species is also possible under
certain conditions. | | Source: | arXiv, 1305.5972 | | Services: | Forum | Review | PDF | Favorites | |
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