We consider a stochastic SIR system and we prove the existence, uniqueness and positivity of solution. Moreover the existence of an invariant measure under a suitable condition on the coefficients is studied.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am34-4-2, author = {Elisabetta Tornatore and Stefania Maria Buccellato}, title = {On a stochastic SIR model}, journal = {Applicationes Mathematicae}, volume = {34}, year = {2007}, pages = {389-400}, zbl = {1144.60040}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-4-2} }
Elisabetta Tornatore; Stefania Maria Buccellato. On a stochastic SIR model. Applicationes Mathematicae, Tome 34 (2007) pp. 389-400. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-4-2/