Mobility-dependent selection of competing strategy associations

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© 2014 American Physical Society (APS). This is the accepted version of the following article: Dobrinevski, Alexander & Alava, Mikko J. & Reichenbach, Tobias & Frey, Erwin. 2014. Mobility-dependent selection of competing strategy associations. Physical Review E. Volume 89, Issue 1. 012721/1-9. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.89.012721, which has been published in final form at http://journals.aps.org/pre/abstract/10.1103/PhysRevE.89.012721.

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Journal Title

Journal ISSN

Volume Title

School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2014

Major/Subject

Mcode

Degree programme

Language

en

Pages

012721/1-9

Series

Physical Review E, Volume 89, Issue 1

Abstract

Standard models of population dynamics focus on the interaction, survival, and extinction of the competing species individually. Real ecological systems, however, are characterized by an abundance of species (or strategies, in the terminology of evolutionary-game theory) that form intricate, complex interaction networks. The description of the ensuing dynamics may be aided by studying associations of certain strategies rather than individual ones. Here we show how such a higher-level description can bear fruitful insight. Motivated from different strains of colicinogenic Escherichia coli bacteria, we investigate a four-strategy system which contains a three-strategy cycle and a neutral alliance of two strategies. We find that the stochastic, spatial model exhibits a mobility-dependent selection of either the three-strategy cycle or of the neutral pair. We analyze this intriguing phenomenon numerically and analytically.

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Keywords

population dynamics, toxins, Escherichia coli bacteria

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Citation

Dobrinevski, Alexander & Alava, Mikko J. & Reichenbach, Tobias & Frey, Erwin. 2014. Mobility-dependent selection of competing strategy associations. Physical Review E. Volume 89, Issue 1. 012721/1-9. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.89.012721.