Thedynamicalpropertiesofastochasticnon-autonomousratio-dependentpredator–preysystemarestudiedbyapplyingthetheoryofstochasticdifferentialequations,Itˆo’sformulaandthemethodofLyapunovfunctions.First,theexistence,theuniquenessandthepositivityofthesolutionarediscu