A stochastic symbiosis model with degenerate diffusion process
Volume 98 / 2010
Annales Polonici Mathematici 98 (2010), 111-128
MSC: 47D07, 35K15, 60J60, 60H10, 92D25.
DOI: 10.4064/ap98-2-2
Abstract
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.
