Confidence domain in the stochastic competition chemostat model with feedback control

(整期优先)网络出版时间:2018-04-14
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Thispaperstudiesastochasticallyforcedchemostatmodelwithfeedbackcontrolinwhichtwoorganismscompeteforasinglegrowth-limitingsubstrate.Inthedeterministiccounterpart,previousresearchesshowthatthecoexistenceoftwocompetingorganismsmaybeachievedasastablepositiveequilibriumorastablepositiveperiodicsolutionbydierentfeedbackschedules.Inthestochasticcase,basedonthestochasticsensitivityfunctiontechnique,weconstructtheconfidencedomainsfordierentfeedbackscheduleswhichallowustofindtheconfigurationalarrangementsofthestochasticattractorsandanalyzethedispersionoftherandomstatesofthestochasticmodel.