First passage time on pattern formation in a non-local Fisher population dynamics

• Authors: Miguel Fuentes , Manuel Cáceres
• Languages of publication: EN

Abstracts

EN

We use stochastic dynamics to develop the patterned attractor of a non-local extended system. This is done analytically using the stochastic path perturbation approach scheme, where a theory of perturbation in the small noise parameter is introduced to analyze the random escape of the stochastic field from the unstable state. Emphasis is placed on the specific mode selection that these types of systems exhibit. Concerning the stochastic propagation of the front we have carried out Monte Carlo simulations which coincide with our theoretical predictions.

Keywords

EN

mean first passage time; non-local interactions; pattern formation

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 12
• Pages: 1623-1628

Dates

published

1 - 12 - 2013

online

20 - 12 - 2013

Contributors

author

Miguel Fuentes

author

Manuel Cáceres

• Centro Atómico Bariloche, Instituto Balseiro and CONICET, 8400, Bariloche, Argentina

References

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Identifiers

DOI

10.2478/s11534-013-0268-3