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Stochastic effects on biodiversity in cyclic coevolutionary dynamics

100%

Reichenbach T., Mobilia M., Frey E.

Banach Center Publications

2008

tom 80

nr 1

259-264

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

88%

Mobilia M., Reichenbach T., Hinsch H., Franosch T., Frey E.

Banach Center Publications

2008

tom 80

nr 1

101-120

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 totally asymmetric simple exclusion process (TASEP) and a generalization accounting for the exchanges with a reservoir, we discuss the qualitative and quantitative nonequilibrium properties of these model systems. We specifically analyze the case of a dimeric lattice gas, the transport in the presence of pointwise disorder and along coupled tracks.

Ograniczanie wyników

2 Banach Center Publications

2 Frey E.

2 Mobilia M.

2 Reichenbach T.

1 Franosch T.

1 Hinsch H.

2 2008

Wyniki wyszukiwania

Stochastic effects on biodiversity in cyclic coevolutionary dynamics

Generic principles of active transport