SIR stochastic model of adaptive network of virus propagation

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1、SummarySocialattentionhasbeenincreasinglypaidtothespreadofEbolavirus,be-causeofitsdeathrateupto90%.PresidentObamahasdescribedtheoutbreakofEbolainWestAfricaasathreattoglobalsecurity.Nevertheless,theworldmedicalassociationhasannouncedthattheirnewmedicationcouldstopEbolafromspreadinga

2、ndcurepatientswhosediseasearenotadvanced.Thisisagospelforinfectedpatients.[2]uuhuihjhhhThispaperpresentsfourmodelstoeradicateEbolavirus.FocusingonSIRstochasticmodelofadaptivenetworksofviruspropagation,weestablishthemodeltosimulatethespreadofEbolainacrowd.[4]Thuswecanpredictthetrend

3、ofEbolavirusproperly.Then,byimprovingtheSusceptible-Infective-Removal(SIR)modelandtheBarabasi-Albert(BA)scale-freenetworkmodel,wedistributethelimitedvaccinestotheinfectedpatientseffectively.Weal-soputforwardastrategyabouthowtomakefulluseofthelimitedmedication.TheCellularAutomatamod

4、eliscreatedforthesimulationofvirussspreadinginadaptivenetworks.Atlastbutnotleast,byusingthePrimsAlgorithm,wefindaroutetotransportvaccinesaseffectivelyaspossible.Thefourmodelsinthispaperconsiderthespreadofthediseaserange,therequiredquantityofmedication,thespeedofvaccineproduction,and

5、thede-liveryspeedofmedication.Throughthesemodels,thespreadoftheEbolaviruswillbecontrolledreasonablyandeffectivelyintheend.Keywords:EbolavirusSIRmodelBAscale-freenetworkCellularAu-tomatamodelPrimsAlgorithmSIRstochasticmodelofadaptivenetworkofviruspropagationMCMProblemATeam#41545Janu

6、ary27,2016Contents1Introduction21.1Restatementoftheproblem......................21.2Assumptions...............................31.3Strength.................................31.4Weakness.................................31.5SurveyofPreviousResearch......................42Model1:Amathem

7、aticalmodelofSIR52.1Assumptions...............................52.2AmathematicalmodelofSIRwithoutconsideringthelatency..52.2.1ModelStructure.........................52.3AmathematicalmodelofSIRconsideringthelatency.......72.3.1ModelStructure.........................72.3.2Conclusions.

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