Congruent epidemic models for unstructured and structured populations: analytical reconstruction of a 2003 SARS outbreak.
Identifieur interne : 002130 ( PubMed/Corpus ); précédent : 002129; suivant : 002131Congruent epidemic models for unstructured and structured populations: analytical reconstruction of a 2003 SARS outbreak.
Auteurs : John N. BombardtSource :
- Mathematical biosciences [ 0025-5564 ] ; 2006.
English descriptors
- KwdEn :
- Disease Outbreaks, Disease Transmission, Infectious (prevention & control), Humans, Models, Biological, Population Dynamics, SARS Virus (growth & development), Severe Acute Respiratory Syndrome (epidemiology), Severe Acute Respiratory Syndrome (prevention & control), Severe Acute Respiratory Syndrome (transmission), Taiwan (epidemiology).
- MESH :
- geographic , epidemiology : Taiwan.
- epidemiology : Severe Acute Respiratory Syndrome.
- growth & development : SARS Virus.
- prevention & control : Disease Transmission, Infectious, Severe Acute Respiratory Syndrome.
- transmission : Severe Acute Respiratory Syndrome.
- Disease Outbreaks, Humans, Models, Biological, Population Dynamics.
Abstract
Both the threat of bioterrorism and the natural emergence of contagious diseases underscore the importance of quantitatively understanding disease transmission in structured human populations. Over the last few years, researchers have advanced the mathematical theory of scale-free networks and used such theoretical advancements in pilot epidemic models. Scale-free contact networks are particularly interesting in the realm of mathematical epidemiology, primarily because these networks may allow meaningfully structured populations to be incorporated in epidemic models at moderate or intermediate levels of complexity. Moreover, a scale-free contact network with node degree correlation is in accord with the well-known preferred mixing concept. The present author describes a semi-empirical and deterministic epidemic modeling approach that (a) focuses on time-varying rates of disease transmission in both unstructured and structured populations and (b) employs probability density functions to characterize disease progression and outbreak controls. Given an epidemic curve for a historical outbreak, this modeling approach calls for Monte Carlo calculations (that define the average new infection rate) and solutions to integro-differential equations (that describe outbreak dynamics in an aggregate population or across all network connectivity classes). Numerical results are obtained for the 2003 SARS outbreak in Taiwan and the dynamical implications of time-varying transmission rates and scale-free contact networks are discussed in some detail.
DOI: 10.1016/j.mbs.2006.05.004
PubMed: 16904134
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pubmed:16904134Le document en format XML
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Bombardt</name><affiliation><nlm:affiliation>Institute for Defense Analyses, 4850 Mark Center Drive, Alexandria, VA 22311-1882, United States. jbombard@ida.org</nlm:affiliation></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">PubMed</idno><date when="2006">2006</date><idno type="RBID">pubmed:16904134</idno><idno type="pmid">16904134</idno><idno type="doi">10.1016/j.mbs.2006.05.004</idno><idno type="wicri:Area/PubMed/Corpus">002130</idno><idno type="wicri:explorRef" wicri:stream="PubMed" wicri:step="Corpus" wicri:corpus="PubMed">002130</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en">Congruent epidemic models for unstructured and structured populations: analytical reconstruction of a 2003 SARS outbreak.</title><author><name sortKey="Bombardt, John N" sort="Bombardt, John N" uniqKey="Bombardt J" first="John N" last="Bombardt">John N. Bombardt</name><affiliation><nlm:affiliation>Institute for Defense Analyses, 4850 Mark Center Drive, Alexandria, VA 22311-1882, United States. jbombard@ida.org</nlm:affiliation></affiliation></author></analytic><series><title level="j">Mathematical biosciences</title><idno type="ISSN">0025-5564</idno><imprint><date when="2006" type="published">2006</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Disease Outbreaks</term><term>Disease Transmission, Infectious (prevention & control)</term><term>Humans</term><term>Models, Biological</term><term>Population Dynamics</term><term>SARS Virus (growth & development)</term><term>Severe Acute Respiratory Syndrome (epidemiology)</term><term>Severe Acute Respiratory Syndrome (prevention & control)</term><term>Severe Acute Respiratory Syndrome (transmission)</term><term>Taiwan (epidemiology)</term></keywords><keywords scheme="MESH" type="geographic" qualifier="epidemiology" xml:lang="en"><term>Taiwan</term></keywords><keywords scheme="MESH" qualifier="epidemiology" xml:lang="en"><term>Severe Acute Respiratory Syndrome</term></keywords><keywords scheme="MESH" qualifier="growth & development" xml:lang="en"><term>SARS Virus</term></keywords><keywords scheme="MESH" qualifier="prevention & control" xml:lang="en"><term>Disease Transmission, Infectious</term><term>Severe Acute Respiratory Syndrome</term></keywords><keywords scheme="MESH" qualifier="transmission" xml:lang="en"><term>Severe Acute Respiratory Syndrome</term></keywords><keywords scheme="MESH" xml:lang="en"><term>Disease Outbreaks</term><term>Humans</term><term>Models, Biological</term><term>Population Dynamics</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Both the threat of bioterrorism and the natural emergence of contagious diseases underscore the importance of quantitatively understanding disease transmission in structured human populations. Over the last few years, researchers have advanced the mathematical theory of scale-free networks and used such theoretical advancements in pilot epidemic models. Scale-free contact networks are particularly interesting in the realm of mathematical epidemiology, primarily because these networks may allow meaningfully structured populations to be incorporated in epidemic models at moderate or intermediate levels of complexity. Moreover, a scale-free contact network with node degree correlation is in accord with the well-known preferred mixing concept. The present author describes a semi-empirical and deterministic epidemic modeling approach that (a) focuses on time-varying rates of disease transmission in both unstructured and structured populations and (b) employs probability density functions to characterize disease progression and outbreak controls. Given an epidemic curve for a historical outbreak, this modeling approach calls for Monte Carlo calculations (that define the average new infection rate) and solutions to integro-differential equations (that describe outbreak dynamics in an aggregate population or across all network connectivity classes). Numerical results are obtained for the 2003 SARS outbreak in Taiwan and the dynamical implications of time-varying transmission rates and scale-free contact networks are discussed in some detail.</div></front></TEI><pubmed><MedlineCitation Status="MEDLINE" Owner="NLM"><PMID Version="1">16904134</PMID><DateCompleted><Year>2006</Year><Month>12</Month><Day>07</Day></DateCompleted><DateRevised><Year>2020</Year><Month>04</Month><Day>07</Day></DateRevised><Article PubModel="Print-Electronic"><Journal><ISSN IssnType="Print">0025-5564</ISSN><JournalIssue CitedMedium="Print"><Volume>203</Volume><Issue>2</Issue><PubDate><Year>2006</Year><Month>Oct</Month></PubDate></JournalIssue><Title>Mathematical biosciences</Title><ISOAbbreviation>Math Biosci</ISOAbbreviation></Journal><ArticleTitle>Congruent epidemic models for unstructured and structured populations: analytical reconstruction of a 2003 SARS outbreak.</ArticleTitle><Pagination><MedlinePgn>171-203</MedlinePgn></Pagination><Abstract><AbstractText>Both the threat of bioterrorism and the natural emergence of contagious diseases underscore the importance of quantitatively understanding disease transmission in structured human populations. Over the last few years, researchers have advanced the mathematical theory of scale-free networks and used such theoretical advancements in pilot epidemic models. Scale-free contact networks are particularly interesting in the realm of mathematical epidemiology, primarily because these networks may allow meaningfully structured populations to be incorporated in epidemic models at moderate or intermediate levels of complexity. Moreover, a scale-free contact network with node degree correlation is in accord with the well-known preferred mixing concept. The present author describes a semi-empirical and deterministic epidemic modeling approach that (a) focuses on time-varying rates of disease transmission in both unstructured and structured populations and (b) employs probability density functions to characterize disease progression and outbreak controls. Given an epidemic curve for a historical outbreak, this modeling approach calls for Monte Carlo calculations (that define the average new infection rate) and solutions to integro-differential equations (that describe outbreak dynamics in an aggregate population or across all network connectivity classes). Numerical results are obtained for the 2003 SARS outbreak in Taiwan and the dynamical implications of time-varying transmission rates and scale-free contact networks are discussed in some detail.</AbstractText></Abstract><AuthorList CompleteYN="Y"><Author ValidYN="Y"><LastName>Bombardt</LastName><ForeName>John N</ForeName><Initials>JN</Initials><AffiliationInfo><Affiliation>Institute for Defense Analyses, 4850 Mark Center Drive, Alexandria, VA 22311-1882, United States. jbombard@ida.org</Affiliation></AffiliationInfo></Author></AuthorList><Language>eng</Language><PublicationTypeList><PublicationType UI="D016428">Journal Article</PublicationType><PublicationType UI="D013485">Research Support, Non-U.S. Gov't</PublicationType></PublicationTypeList><ArticleDate DateType="Electronic"><Year>2006</Year><Month>06</Month><Day>09</Day></ArticleDate></Article><MedlineJournalInfo><Country>United States</Country><MedlineTA>Math 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