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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. 2010 Mathematics Subject Classification: 47D07, 35K15, 60J60, 60H10, 92D25.doi:10.4064/ap97-3-5 fatcat:lxrd5xcqjfaslpyuchmimwtiai