The forget-remember mechanism for 2-state spreading

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1、APS/123-QEDTheforget-remembermechanismfor2-statespreadingJ.Gu∗andX.Cai†ComplexityScienceCenterandInstituteofParticlePhysics,CentralChinaNormalUniversity,Wuhan430079,China(Dated:December19,2010)Anewmechanism,theforget-remembermechanism,isproposedforstudyingthespreadingprocessin2-statemodel

2、.Suchmechanismexhibitsbehaviorsofmessagespreadinginfluencedbysomekindsoffunctionsabouttimeandhistorycaringabouttheindividualsofthespreadingsystem,holdingmessageorbeingoutofmessage.Todemonstratethemechanism,bothlinearandexponentialformsforforget-functionandremember-functionaresimulatedandsh

3、owthatagreatimpactonthesaturationofmessage-spreadingandtherelativephasetransformation.PACSnumbers:87.23.Ge,89.70.+c,87.23.KgInthisLetterwesuggestanewmechanism,theandcanbetransmittedout).TheSIRmodeladdsthemechanismwithforgetandrememberfunctions,tothirdstate[16,17],removedstate(lostmessageb

4、utcanstudythemessagespreadingin2-statemodelandshownotbeacceptedmessageagain).(v)Individualcopiestheirbehaviorsimpressedonspreadingprocess.Re-messageintoorfromitsneighbors,topologicallyonly,centresearcheshaswidelyaddressedintheepidemicnotregardingthespacialdistanceandthelimitedtrans-modell

5、ing[1,2,3,4,5,6,7]andthebiologicalinteraction,mittingspeedbetweenindividualsusually.(vi)Timeofwhichhasbeenshownvaluableinsightsonspreading[8].evolutionofthespreadingsystemissometimesconsid-Variousepidemiologicalmodelshasbeenattractedatten-ereddiscretereplacingcontinuous.tionofepidemiologi

6、sts[9]anditwaspointedoutthatepi-Basedontheabove-mentionedunderstandingwhichdemiologicalprocessescanberegardedaspercolation[5,weprefertocallitthemessagetheorytoinformation10,11,12].theory,wewillfocusourattentionontheinfluenceofamechanism,theforget-remembermechanism(FRM),inAsknown,mostofspre

7、adingsystemsshouldbecon-ourinvestigationonmessagespreading.Asweknow,insideredtohavethefollowingstrongerresemblances:(i)themostofready-madespreadingstudies,theordinaryInanyofthespreadingsystems,therearecertainlysomemeansassumedaconstanttomeasuretheprobabilityofspecia