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  Discriminating the effects of spatial extent and population size in cyclic competition among species

Lamouroux, D., Eule, S., Geisel, T., & Nagler, J. (2012). Discriminating the effects of spatial extent and population size in cyclic competition among species. Physical Review E, 86: 021911. doi:10.1103/PhysRevE.86.021911.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-10A5-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-10A6-6
Genre: Journal Article

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 Creators:
Lamouroux, David1, Author              
Eule, Stephan1, Author              
Geisel, Theo1, Author              
Nagler, Jan1, Author              
Affiliations:
1Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063286              

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 Abstract: We introduce a population model for species under cyclic competition. This model allows individuals to coexist and interact on single cells while migration takes place between adjacent cells. In contrast to the model introduced by Reichenbach, Mobilia, and Frey [ Reichenbach, Mobilia and Frey Nature (London) 448 1046 (2007)], we find that the emergence of spirals results in an ambiguous behavior regarding the stability of coexistence. The typical time until extinction exhibits, however, a qualitatively opposite dependence on the newly introduced nonunit carrying capacity in the spiraling and the nonspiraling regimes. This allows us to determine a critical mobility that marks the onset of this spiraling state sharply. In contrast, we demonstrate that the conventional finite size stability analysis with respect to spatial size is of limited use for identifying the onset of the spiraling regime.

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Language(s): eng - English
 Dates: 2012-08-09
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Method: Peer
 Identifiers: eDoc: 634174
DOI: 10.1103/PhysRevE.86.021911
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Title: Physical Review E
Source Genre: Journal
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Pages: - Volume / Issue: 86 Sequence Number: 021911 Start / End Page: - Identifier: -