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Article: A fast algorithm for the spread of HIV in a system of prisons

TitleA fast algorithm for the spread of HIV in a system of prisons
Authors
Ching, WKCong, YNg, TWTai, AH
KeywordsEpidemic model
Equilibrium point
HIV
Newton's method
Prison system
Sherman-Morrison-Woodbury formula
Issue Date2007
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/mcm
Citation
Mathematical And Computer Modelling, 2007, v. 46 n. 9-10, p. 1247-1255 How to Cite?
DOI: http://dx.doi.org/10.1016/j.mcm.2007.01.002
AbstractIn this paper, we propose a continuous time model for modelling the spread of HIV in a network of prisons. We give some sufficient conditions for the equilibrium points of the system to be stable. We also develop an efficient algorithm based on Newton's method and the Sherman-Morrison-Woodbury formula for computing the equilibrium values of the infectives in each prison. © 2007 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/75157
ISSN
0895-7177
2015 Impact Factor: 1.366
ISI Accession Number ID
WOS:000250015000007
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorChing, WKen_HK
dc.contributor.authorCong, Yen_HK
dc.contributor.authorNg, TWen_HK
dc.contributor.authorTai, AHen_HK
dc.date.accessioned2010-09-06T07:08:29Z-
dc.date.available2010-09-06T07:08:29Z-
dc.date.issued2007en_HK
dc.identifier.citationMathematical And Computer Modelling, 2007, v. 46 n. 9-10, p. 1247-1255en_HK
dc.identifier.issn0895-7177en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75157-
dc.description.abstractIn this paper, we propose a continuous time model for modelling the spread of HIV in a network of prisons. We give some sufficient conditions for the equilibrium points of the system to be stable. We also develop an efficient algorithm based on Newton's method and the Sherman-Morrison-Woodbury formula for computing the equilibrium values of the infectives in each prison. © 2007 Elsevier Ltd. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/mcmen_HK
dc.relation.ispartofMathematical and Computer Modellingen_HK
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.subjectEpidemic modelen_HK
dc.subjectEquilibrium pointen_HK
dc.subjectHIVen_HK
dc.subjectNewton's methoden_HK
dc.subjectPrison systemen_HK
dc.subjectSherman-Morrison-Woodbury formulaen_HK
dc.titleA fast algorithm for the spread of HIV in a system of prisonsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0895-7177&volume=46&spage=1247&epage=1255&date=2007&atitle=A+Fast+Algorithm+for+the+Spread+of+HIV+in+a+System+of+Prisonsen_HK
dc.identifier.emailChing, WK:wching@hku.hken_HK
dc.identifier.emailNg, TW:ntw@maths.hku.hken_HK
dc.identifier.authorityChing, WK=rp00679en_HK
dc.identifier.authorityNg, TW=rp00768en_HK
dc.description.naturepreprint-
dc.identifier.doi10.1016/j.mcm.2007.01.002en_HK
dc.identifier.scopuseid_2-s2.0-34548415772en_HK
dc.identifier.hkuros138467en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-34548415772&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume46en_HK
dc.identifier.issue9-10en_HK
dc.identifier.spage1247en_HK
dc.identifier.epage1255en_HK
dc.identifier.isiWOS:000250015000007-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridChing, WK=13310265500en_HK
dc.identifier.scopusauthoridCong, Y=35185897700en_HK
dc.identifier.scopusauthoridNg, TW=7402229732en_HK
dc.identifier.scopusauthoridTai, AH=8901145000en_HK
dc.identifier.issnl0895-7177-

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