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一类具有脉冲接种、双时滞的SEIRS传染病模型研究分析（英文）.docx

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一类具有脉冲接种、双时滞的SEIRS传染病模型研究分析（英文） ResearchandAnalysisofaSEIRSEpidemicModelwithPulseVaccinationandDoubleTimeDelays Abstract: Inrecentyears,thespreadofinfectiousdiseaseshasposedsignificantchallengestopublichealthsystemsworldwide.Aneffectivewaytocontrolandpreventthetransmissionofinfectiousdiseasesisthroughtheimplementationofvaccinationprograms.Inthispaper,weproposeaSEIRSepidemicmodelwithpulsevaccinationanddoubletimedelays.Themodeltakesintoaccounttheeffectsofboththevaccinationstrategyandthetimedelaysinthediseaseprogression.Throughmathematicalanalysisandnumericalsimulations,weinvestigatetheimpactofpulsevaccinationandtimedelaysonthedynamicsoftheepidemic.Ourresultsshowthatpulsevaccinationcaneffectivelycontrolthespreadofthedisease,especiallywhenimplementedinatimelymanner.Furthermore,thetimedelaysinthediseaseprogressioncansignificantlyinfluencethestabilityandpersistenceoftheepidemic.Thesefindingsprovideimportantinsightsfordesigningeffectivevaccinationstrategiesandcontrollingthespreadofinfectiousdiseases. 1.Introduction Inrecentyears,infectiousdiseasessuchasmeasles,influenza,andCOVID-19havecausedsignificantmorbidityandmortalityworldwide.Vaccinationisoneofthemosteffectivewaystocontrolandpreventthetransmissionofinfectiousdiseases.Traditionalcontinuousvaccinationstrategieshavebeenwidelyused,buttheymaynotbeoptimalincertainsituations.Inreal-worldscenarios,resourcesforvaccinationmaybelimited,anditmaynotbefeasibletocontinuouslyvaccinatethepopulation.Toaddressthesechallenges,pulsevaccinationstrategieshavebeenproposed,wherevaccinationisgivenperiodicallyindiscretedoses. 2.TheSEIRSEpidemicModelwithPulseVaccination TheSEIRSmodelisawidelyusedmathematicalmodelforstudyingthedynamicsofinfectiousdiseases.Itdividesthepopulationintofourcompartments:susceptible(S),exposed(E),infectious(I),andrecovered(R).Inthismodel,individualstransitionfromonecompartmenttoanotherbasedoncertainratesandparameters.WeextendthestandardSEIRSmodelbyincorporatingpulsevaccinationanddoubletimedelays. 3.MathematicalAnalysis