路途感染及健康檢查對(duì)疾病傳播的影響.pdf

1、西南大學(xué)碩士學(xué)位論文路途感染及健康檢查對(duì)疾病傳播的影響姓名：陳曉平申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：劉賢寧20110607TheEffectofTransportrelatedInfectionandExitentryScreeningonDiseaseSpreadABSTRACTMajorAppliedmathematicsSpeciality：MathematicalbiologySupervisorHuXianningAu

2、thorChenXiaoping(112008314001347)Consideringtheeffectofpopulationdispersalwithtransport。relatedinfectionandexitentryscreeningondiseasespread，SIS、SIQSmodelsareproposedandsomeanalyticalresuIts羽eobminedTheparameterspacewhic

3、hisconstitutedbytransmissionrate，theprobabilitiesofsuccessfullydetectinganinfectedindividualforentryscreeningandexitscreening，isdividedintoseveralregionsbythecriticalconditionwithoneofthebasicreproductionnumbersisequalto

4、1Eachregionrepresentsfor0necaseMathematicalresultssuggestthatexit—entryscreeningsarereasonableandnecessaryThispaperisdividedintofivechaptersInthefirstchapter，thedevelopmentfrompopulationemigrationmodeltoinfectiousdisease

5、modelwithdispersalisintroducedInfectiousdiseasemodelwithdiffusionisgeneralizedfromtwopatchesto禮patchesAgeneralSEIRSmodelformulti—speciesonmultipatchesdiffusionisintroducedSomerelatedtheoremsthatwillbeusedandthemainpurpos

6、eofthispaperareintroducedInthesecondchapter，weformulateanSISmodelwithtranspoaed—relatedandtwomeansoftraveling，thedynamicbehaviorsofthemodelareanalyzedBycomparingthesizeofthebasicreproductionnumber，weshowthattravelingpopu

7、lationtakeasmallertransmissionrateoftransportasmuchaspossible，whichishelpfulfordiseasecontrolInthethirdchapterconsideringthecasewithtransported—relatedinfectionandonesidescreening(exitscreeningorentryscreening)，anSIQSmod