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4、'ot3~.Vf5sfeo
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7、'ot3~,{'2y6~y
8、.Ytb
9、;,u,R5b;.,u-+otT{,$R,5b;o6./&r,Vgsb;,T0,:=6"f.mA:tG;0>z;,T0;"f;0;F9℄);t+T{;6IAbstractThispapercharacterizesthedynamicsofstochasticmulti-speciesmutualismmodel,twokindsofstochasticpredator-preymodelsandstochasticcompetitivemodelwithdiseasebyconstruc
10、tingsuitableLyapunovfunctionsandusingthethe-oryofstationarydistributionandperiodicitydevelopedbyHas’minskii.Firstly,Weconsidertheexistenceanduniquenessofthepositivesolutiontothesystems.Moreover,sufficientconditionswhichguaranteetheexistenceofstationarydistri-butionorperiodicso
11、lutionofthesystemsareestablished.Non-persistenceandlongtimebehavioraroundth