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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-3-5,
author = {Urszula Skwara},
title = {A stochastic model of symbiosis},
journal = {Annales Polonici Mathematici},
volume = {98},
year = {2010},
pages = {257-272},
zbl = {1204.47049},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-3-5}
}
Urszula Skwara. A stochastic model of symbiosis. Annales Polonici Mathematici, Tome 98 (2010) pp. 257-272. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-3-5/