A stochastic model of symbiosis
Annales Polonici Mathematici (2010)
- Volume: 97, Issue: 3, page 257-272
- ISSN: 0066-2216
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topUrszula Skwara. "A stochastic model of symbiosis." Annales Polonici Mathematici 97.3 (2010): 257-272. <http://eudml.org/doc/281041>.
@article{UrszulaSkwara2010,
abstract = {We consider a system of stochastic differential equations which models the dynamics of two populations living in symbiosis. We prove the existence, uniqueness and positivity of solutions. We analyse the long-time behaviour of both trajectories and distributions of solutions. We give a biological interpretation of the model.},
author = {Urszula Skwara},
journal = {Annales Polonici Mathematici},
keywords = {symbiosis model; diffusion process; Markov semigroups; asymptotic stability; nonlinear Volterra-Gause-Witt model},
language = {eng},
number = {3},
pages = {257-272},
title = {A stochastic model of symbiosis},
url = {http://eudml.org/doc/281041},
volume = {97},
year = {2010},
}
TY - JOUR
AU - Urszula Skwara
TI - A stochastic model of symbiosis
JO - Annales Polonici Mathematici
PY - 2010
VL - 97
IS - 3
SP - 257
EP - 272
AB - We consider a system of stochastic differential equations which models the dynamics of two populations living in symbiosis. We prove the existence, uniqueness and positivity of solutions. We analyse the long-time behaviour of both trajectories and distributions of solutions. We give a biological interpretation of the model.
LA - eng
KW - symbiosis model; diffusion process; Markov semigroups; asymptotic stability; nonlinear Volterra-Gause-Witt model
UR - http://eudml.org/doc/281041
ER -
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