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Competition and Cooperation in One-Dimensional Stepping-Stone Models

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Author(s)
Korolev, Kirill Sergeevich
•
Nelson, David R.
Date Issued
August 2011
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Korolev, K., and David Nelson. “Competition and Cooperation in One-Dimensional Stepping-Stone Models.” Physical Review Letters 107 (2011): n. pag. Web. 19 Oct. 2011. © 2011 American Physical Society
Version
Final published version
Abstract
Mutualism is a major force driving evolution and sustaining ecosystems. Although the importance of spatial degrees of freedom and number fluctuations is well known, their effects on mutualism are not fully understood. With range expansions of microbes in mind, we show that, even when mutualism confers a selective advantage, it persists only in populations with high density and frequent migrations. When these parameters are reduced, mutualism is generically lost via a directed percolation (DP) process, with a phase diagram strongly influenced by an exceptional symmetric DP (DP2) transition.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/66506
DOI of Published Version
https://doi.org/10.1103/PhysRevLett.107.088103
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