Cyclic dominance and biodiversity in well-mixed populations

Claussen, Jens Christian; Traulsen, Arne

doi:10.1103/PhysRevLett.100.058104

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Cyclic dominance and biodiversity in well-mixed populations

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Traulsen, Arne
Department Evolutionary Ecology, Max Planck Institute for Evolutionary Biology, Max Planck Society;
Research Group Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society;

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Citation

Claussen, J. C., & Traulsen, A. (2008). Cyclic dominance and biodiversity in well-mixed populations. Physical Review Letters, 100: 058104. doi:10.1103/PhysRevLett.100.058104.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-D6E5-C

Abstract

Coevolutionary dynamics is investigated in chemical catalysis, biological evolution, social and economic systems. The dynamics of these systems can be analyzed within the unifying framework of evolutionary game theory. In this Letter, we show that even in well-mixed finite populations, where the dynamics is inherently stochastic, biodiversity is possible with three cyclic-dominant strategies. We show how the interplay of evolutionary dynamics, discreteness of the population, and the nature of the interactions influences the coexistence of strategies. We calculate a critical population size above which coexistence is likely.