A stochastic model of symbiosis
Volume 97 / 2010
Annales Polonici Mathematici 97 (2010), 257-272
MSC: 47D07, 35K15, 60J60, 60H10, 92D25.
DOI: 10.4064/ap97-3-5
Abstract
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.
