摘要
ThepaperpresentsthebasicmodelforthetransmissiondynamicsofWestNilevirus(WNV).Themodel,whichconsistsofsevenmutually-exclusivecompartmentsrepresentingthebirdsandvectordynamics,hasalocally-asymptoticallystablediseasefreeequilibriumwhenevertheassociatedreproductionnumber(R0)islessthanunity.Asrevealin[3,20],theanalysesofthemodelshowtheexistenceofthephenomenonofbackwardbifurcation(wherethestabledisease-freeequilibriumofthemodelco-existswithastableendemicequilibriumwhenthereproductionnumberofthediseaseislessthanunity).Itisshown,thatthebackwardbifurcationphenomenoncanberemovedbysubstitutingtheassociatedstandardincidencefunctionwithamassactionincidence.Analysisofthereproductionnumberofthemodelshowsthat,thediseasewillpersist,wheneverR0>1,andincreaseinthelengthofincubationperiodcanhelpreduceWNVburdeninthecommunityifacertainthresholdquantities,denotedby△band△varenegative.Ontheotherhand,increasingthelengthoftheincubationperiodincreasesdiseaseburdenif△b>0and△v>0.Furthermore,itisshownthataddingtimedelaytothecorrespondingautonomousmodelwithstandardincidence(consideredin[2])doesnotalterthequalitativedynamicsoftheautonomoussystem(withrespecttotheeliminationorpersistenceofthedisease).
出版日期
2013年05月15日（中国期刊网平台首次上网日期，不代表论文的发表时间）
