Competition and Cooperation in One-Dimensional Stepping-Stone Models
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Korolev-2011-Competition and Cooperation in One.pdf
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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
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.107.088103