几类复杂网络上的疾病传播seis和seir模型研究

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1、Æ“Ò10530ÆÒ201510111178©aÒO5C82—?úma¬ÆØ©AaE,äþ;¾DÂSEISÚSEIR.ïÄÆž<ëà•“’yIÇƶ¡êƆOŽ‰ÆÆƉ;’ÚOÆïÄ••)Ô†‚¸êâÚO˜lco8FAaE,äþ;¾DÂSEISÚSEIR.ïÄÆž<ëà“6¶9…¡’yIÇƶ¡êƆOŽ‰ÆÆƉ;’ÚOÆïÄ••)Ô†‚¸êâÚOÆž?OnÆa¬Æǃü‰ŒÆØ©JFÏ2018-4-6StudyonDiseaseTransmissionSEISand

2、SEIRmodelsonaFewKindsofComplexNetworksCandidateXuanZhaoSupervisorandRankProf.Zu-GuoYuCollegeSchoolofMathematicsandComputationalScienceProgramStatisticsSpecializationBiologicalandEnvironmentalStatisticsDegreeMasterofScienceUniversityXiangtanUniversityDateApril6th

3、,2018Á‡3dÏχöØäD/Uå^‡e§©©Ûüa;¾DÂ.µ´aö-dÏö-/¾ö-´aö(SEIS).Ú´aö-dÏö-/¾ö-¡Eö(SEIR)."·‚uyùüa;¾DÂ.3þ!äÚÃIÝäþDÂKŠ†=£VÇÃ'§ˆ²ïža/ö—Ý‘X=£VÇOŒOŒ"Óž§·‚uy3Ä•.äþ§éSEIS.ó§;¾DÂKŠ^‡´>¶1+(1)éSEIR.ó§;¾DÂKŠ^‡•p>"'…cµE,ä¶;¾D¶SEIS.¶SEIR.IAbstractInthispaper

4、,undertheconditionoflatentandnoincubationperiod,westudytheepidemicthresholdandotherpropertiesoftwotypesofdiseasetrans-missionmodels:Susceptible-Exposed-Infected-Susceptible(SEIS)modelandSusceptible-Exposed-Infected-Recovered(SEIR)model.Wendthattheepidemicthresh

5、oldsofthesetwotypesofdiseasestransmissionmodelsareinde-pendentonthetransitionprobabilityfortheuniformnetworksandthescale-freenetworks.However,whentheequilibriumisreached,thedensityoftheinfectedindividualincreaseswiththeincreasesofthetransitionprobability.Further

6、morewealsondthat,forthedynamicsmallworldnetwork,intheSEISmodel,thethresholdconditionsforthespreadofthediseaseis>;intheSEIRmodel,1+(1)theepidemicthresholdofdiseasestransmissionisp>.Keywords:complexnetwork;diseasetransmission;SEISmodel;SEIRmodelII8¹1˜ÙXØ.......

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