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Stochastic effects on biodiversity in cyclic coevolutionary dynamics

Tobias Reichenbach;  Mauro Mobilia;  Erwin Frey — 2008

Banach Center Publications

Finite-size fluctuations arising in the dynamics of competing populations may have dramatic influence on their fate. As an example, in this article, we investigate a model of three species which dominate each other in a cyclic manner. Although the deterministic approach predicts (neutrally) stable coexistence of all species, for any finite population size, the intrinsic stochasticity unavoidably causes the eventual extinction of two of them.

Generic principles of active transport

Mauro Mobilia;  Tobias Reichenbach;  Hauke Hinsch;  Thomas Franosch;  Erwin Frey — 2008

Banach Center Publications

Nonequilibrium collective motion is ubiquitous in nature and often results in a rich collection of intriguing phenomena, such as the formation of shocks or patterns, subdiffusive kinetics, traffic jams, and nonequilibrium phase transitions. These stochastic many-body features characterize transport processes in biology, soft condensed matter and, possibly, also in nanoscience. Inspired by these applications, a wide class of lattice-gas models has recently been considered. Building on the celebrated...

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