An SIS Epidemic Model with Stage Structure and a Delay

(整期优先)网络出版时间:2002-04-14
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AdiseasetransmissionmodelofSIStypewithstagestructureandadelayisformulated.Stabilityofthediseasefreeequilibrium,andexistence,uniqueness,andstabilityofanendemicequilibrium,areinvestigatedforthemodel.Thestabilityresultsarcstatedintermsofakeythresholdparameter.Theeffectsofstagestructureandtimedelayondynamicalbehavioroftheinfectiousdiseaseareanalyzed.ItisshownthatstagestructurehasnoeffectontheepidemicmodelandHopfbifurcationcanoccurasthetimedelayincreases.