A stochastic symbiosis model with degenerate diffusion process

@article{UrszulaSkwara2010,
abstract = {We present a model of symbiosis given by a system of stochastic differential equations. We consider a situation when the same factor influences both populations or only one population is stochastically perturbed. We analyse the long-time behaviour of the solutions and prove the asymptoptic stability of the system.},
author = {Urszula Skwara},
journal = {Annales Polonici Mathematici},
keywords = {symbiosis model; diffusion process; Markov semigroup; asymptotic stability},
language = {eng},
number = {2},
pages = {111-128},
title = {A stochastic symbiosis model with degenerate diffusion process},
url = {http://eudml.org/doc/280688},
volume = {98},
year = {2010},
}

TY - JOUR
AU - Urszula Skwara
TI - A stochastic symbiosis model with degenerate diffusion process
JO - Annales Polonici Mathematici
PY - 2010
VL - 98
IS - 2
SP - 111
EP - 128
AB - We present a model of symbiosis given by a system of stochastic differential equations. We consider a situation when the same factor influences both populations or only one population is stochastically perturbed. We analyse the long-time behaviour of the solutions and prove the asymptoptic stability of the system.
LA - eng
KW - symbiosis model; diffusion process; Markov semigroup; asymptotic stability
UR - http://eudml.org/doc/280688
ER -