{"refrec":{"BRefID":231128,"RR":"<b>Wang, R.H.; Jin, Z.; Liu, Q.X.</b> (2012). The evolutionary dynamics of a spatial multi-strain host-pathogen system with cross-immunity. <i>Nonlinear Anal.-Hybrid Syst. 6(1)</i>: 741-753. <a href=\"http://dx.doi.org/10.1016/j.nahs.2011.05.008\" target=\"_blank\">dx.doi.org/10.1016/j.nahs.2011.05.008</a>","BEntID":222840,"PublicFlag":1,"CheckedFlag":1,"wosflag":1,"vabbflag":null,"RefStringPartII":". <i>Nonlinear Anal.-Hybrid Syst. 6(1)</i>: 741-753. <a href=\"https://dx.doi.org/10.1016/j.nahs.2011.05.008\" target=\"_blank\">https://dx.doi.org/10.1016/j.nahs.2011.05.008</a>","DocTypID":8,"DocType":"Journal article","MarineFlag":0,"FreshFlag":0,"BrackishFlag":0,"TerrestrialFlag":0,"Authorstring":"Wang, R.H.; Jin, Z.; Liu, Q.X.","OrigTitleTranslFlag":0,"Authorstringtrunc":"Wang, R.H. <i>et al.</i>","Englishabstract":"We considered a Susceptible-Infective-Recovered-Susceptible (SIRS) model with strain mutation and cross-immunity in a non-spatial model and a lattice-structured model, where all individuals can reproduce if the space/resources allow. In the lattice-structured model, both the host reproduction and pathogen transmission processes are assumed to interact with next nearest neighbors, and the model was analyzed by an improved pair approximation (IPA). A family of correlated equations of pair approximation and mean-field were presented. We show the phase diagram of the coexistence and extinction which were obtained from parameterization by measuring the basic reproduction numbers of the strains during their infection processes. The qualitative results of the pair approximation model are similar to that of the corresponding non-spatial model. Furthermore, the spatial model predicts coexistence over a wider range of parameters than the non-spatial model. In particular, when the strain evolution tends to a larger basic reproduction number, the correlated spatial approximation could predict better than the mean-field approximation.","AbstractOtherLang":null,"BibLvlCode":"AS","StandardTitle":"The evolutionary dynamics of a spatial multi-strain host-pathogen system with cross-immunity","OrigTitleLangCode":"en","OrigTitleLangCodeExtended":"eng","OrigTitleLangID":15,"DateLastModified":{"date":"2024-12-10 01:33:17.368041","timezone_type":1,"timezone":"+01:00"},"UserAccessRight":null,"UserAccID":null,"AuthorKeywords":"Multi-strain; Spatial host-pathogen model; Cross-immunity; Improved pairapproximation; Mean-field model","OtherDescriptors":null,"Notes":null,"AnaPub":2012,"MonPub":null,"DateUpdate":"2014-06-17","DateCreate":"2013-12-01","SecASFANote":null,"ConfID":null,"PeerRev":1,"VlizCoreFlag":1,"WoScode":"WOS:000302581900004","VABBcode":null,"OpenAcc":0,"DOI":"10.1016/j.nahs.2011.05.008"},"refs":null,"anarec":{"AnaID":231128,"PubliDate":2012,"Pagination":"741-753","XtraPublOfAnaID":null,"ISBN":null,"Volume":"6","Issue":"1","BRefMon":null,"BRefMonRR":null,"BRefXtra":null,"BRefXtraRR":null,"SerBRefID":239008,"SerRR":"Nonlinear Analysis: Hybrid Systems. 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ISSN 1751-570X; e-ISSN 1878-7460","StandardTitleSer":"Nonlinear Analysis: Hybrid Systems","ISSN":"1751-570X","AbbrevSer":"Nonlinear Anal.-Hybrid Syst.","StandardTitleMon":null,"StartPage":741,"Pages":13,"ToPubliDate":null,"BRefBibLvlCode":"S","SerNotes":null},"monrec":null,"serrec":null,"relations":null,"relationsRev":null,"addrec":null,"othpubs":null,"ownerships":null,"authors":[{"AutName":"Wang","Firstname":"Rong-Hua","Initials":"R.H.","Affiliation":"Department of Mathematics, North University of China","Discriminator":null,"CorporateFlag":0,"BEntID":222840,"AutID":171826,"OrderNr":1,"DegrID":null,"EditorFlag":0,"CorrespFlag":0,"IllustratorFlag":0,"ReviserFlag":0,"TranslatorFlag":0,"InsAcronym":null,"InsFSN":null,"ORCID":null,"PersID":null,"InsID":null},{"AutName":"Jin","Firstname":"Zhen","Initials":"Z.","Affiliation":"Department of Mathematics, North University of China","Discriminator":null,"CorporateFlag":0,"BEntID":222840,"AutID":171827,"OrderNr":2,"DegrID":null,"EditorFlag":0,"CorrespFlag":0,"IllustratorFlag":0,"ReviserFlag":0,"TranslatorFlag":0,"InsAcronym":null,"InsFSN":null,"ORCID":null,"PersID":null,"InsID":null},{"AutName":"Liu","Firstname":"Quan-Xing","Initials":"Q.X.","Affiliation":"Spatial Ecology Department, The Netherlands Institute of Ecology (NIOO-KNAW)","Discriminator":null,"CorporateFlag":0,"BEntID":222840,"AutID":171828,"OrderNr":3,"DegrID":null,"EditorFlag":0,"CorrespFlag":0,"IllustratorFlag":0,"ReviserFlag":0,"TranslatorFlag":0,"InsAcronym":"YRE","InsFSN":"Koninklijk Nederlands Instituut voor Onderzoek der Zee; NIOZ Yerseke; Afdeling Ruimtelijke Ecologie","ORCID":"0000-0002-8602-0154","PersID":20274,"InsID":5281}],"mapdetails":null,"datasets":null,"monographs":null,"monparts":null,"serparts":null,"BEntOpen":222840,"BEntPrivate":null,"availability":[{"BInstID":256744,"LibID":2779,"BRefID":231128,"EmbargoDate":null,"FullEmbargoDate":null,"PhysMedID":16,"hasOCRd":1,"ShelfLocCode":"256744","RFID":null,"PaidValue":null,"Medium":"Server","Description":null,"Acronym":null,"Library":"NIOZ","DutchTerm":null,"URL":null,"ClassifID":261,"Classification":"NIOZ files","ReqLink":1,"ClassifTypID":3,"URLLocation":"https://www.vliz.be/imisdocs/publications/","SubDir":1,"InternalReq":1,"LoggedInReq":null,"Disclaimer":null,"DutchDisclaimer":null,"FileFormat":".pdf","FileDescr":"pdf","InsPub":1,"InsID":397,"FileFormID":6,"LendableFlag":null,"PublicFlag":1,"orderLib":"NIOZ","Notes":null,"AccConID":null,"AccessConstraint":null,"LicURL":null}],"litstyles":null,"thespers":null,"arch2discl":805,"SERpubls":[{"PublName":"Elsevier","City":"Amsterdam"}],"MONpubls":null,"pictures":[],"thestermsPath":null,"thestermsASFA":null,"taxtermsASFA":null,"geotermsASFA":null,"collections":null,"conf":null,"proj":null,"Physdatasets":null,"spcols":{"805":{"SpName":"Koninklijk Nederlands Instituut voor Onderzoek der Zee","SpColID":805,"ParSpColID":null,"TopParID":null,"ShortName":"NIOZ","URLLocation":"https://www.vliz.be/imis/nioz/imis.php?refid=","LibID":2779,"OpenRepoFlag":1,"SpTypID":1,"TopParIDNotWebsite":null,"SpColPath":"NIOZ"}},"doi":null,"publs":null,"serparttypes":null,"monauthors":null,"MParts":null,"SParts":null,"hLibs":null,"langs":[{"BEntID":222840,"AbstractFlag":0,"LangID":15,"LangCode":"en","Lang":"English","DutchTerm":"Engels","LangCodeExtended":"eng"}],"urls":[{"URL":"https://dx.doi.org/10.1016/j.nahs.2011.05.008","externalID":"10.1016/j.nahs.2011.05.008","URLTypeCode":"DOI","URLID":30758,"URLTypID":13,"URLType":"DOI","URLPrefix":"http://dx.doi.org/"}],"thesterms":null,"taxterms":null,"geoterms":null,"othterms":null,"asfacodes":null,"asfa2codes":null,"thestermsFRIS":null,"taxtermsFRIS":null,"geotermsFRIS":null,"othtermsFRIS":null,"resmessage":"","complete":1,"sessions":{"newSesName":"Lyssens, Liesbeth, L.","newSesDate":{"date":"2013-12-01 18:55:58.187000","timezone_type":3,"timezone":"Europe/Brussels"},"updSesName":"Leonne.van.der.Weegen@nioz.nl","updSesDate":{"date":"2014-06-17 16:56:03.447000","timezone_type":3,"timezone":"Europe/Brussels"}}}