Artículo
Stochastic Path Perturbation Approach Applied to Non-Local Non-Linear Equations in Population Dynamics
Fecha de publicación:
07/2015
Editorial:
EDP Sciences
Revista:
Mathematical Modelling of Natural Phenomena
ISSN:
0973-5348
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We described the first passage time distribution associated to the stochastic evolution from an unstable uniform state to a patterned one (attractor of the system), when the time evolution is given by an integro-differential equation describing a population model. In order to obtain analytical results we used the Stochastic Path Perturbation Approach introducing a minimum coupling approximation into the nonlinear dynamics, and a stochastic multiscale perturbation expansion. We show that the stochastic multiscale perturbation is a necessary tool to handle other problems like: nonlinear instabilities and multiplicative stochastic partial differential equations. A small noise parameter was introduced to define the random escape of the stochastic field. We carried out Monte Carlo simulations in a non-local Fisher like equation, to show the agreement with our theoretical predictions.
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(SEDE CENTRAL)
Articulos de SEDE CENTRAL
Articulos de SEDE CENTRAL
Citación
Fuentes, Miguel Angel; Caceres Garcia Faure, Manuel Osvaldo; Stochastic Path Perturbation Approach Applied to Non-Local Non-Linear Equations in Population Dynamics; EDP Sciences; Mathematical Modelling of Natural Phenomena; 10; 6; 7-2015; 48-60
Compartir
Altmétricas