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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap98-2-2, author = {Urszula Skwara}, title = {A stochastic symbiosis model with degenerate diffusion process}, journal = {Annales Polonici Mathematici}, volume = {98}, year = {2010}, pages = {111-128}, zbl = {1223.47043}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap98-2-2} }
Urszula Skwara. A stochastic symbiosis model with degenerate diffusion process. Annales Polonici Mathematici, Tome 98 (2010) pp. 111-128. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap98-2-2/