A stochastic symbiosis model with degenerate diffusion process
Urszula Skwara
Annales Polonici Mathematici, Tome 98 (2010), p. 111-128 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:280688
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     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}
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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/