Mathematical Models of Influenza: The Role of Cross-Immunity, Quarantine and Age-Structure
Identifieur interne : 001316 ( Main/Exploration ); précédent : 001315; suivant : 001317Mathematical Models of Influenza: The Role of Cross-Immunity, Quarantine and Age-Structure
Auteurs : M. Nu O [États-Unis] ; C. Castillo-Chavez [États-Unis] ; Z. Feng [États-Unis] ; M. Martcheva [États-Unis]Source :
- Lecture Notes in Mathematics [ 0075-8434 ]
Abstract
This chapter compiles some of the results on influenza dynamics that involve a single strain, as well as two competing strains. The emphasis is on the role of cross-immunity, quarantine and age-structure as mechanisms capable of supporting recurrent influenza epidemic outbreaks. Quarantine or age-structure alone can support oscillations while cross-immunity enhances the likelihood of strain coexistence and impacts the length of the period. It is the hope that the perspective provided here will instigate others to use mathematical models in the study of disease transmission and its evolution, particularly in a setting that involves highly variable pathogens.
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DOI: 10.1007/978-3-540-78911-6_13
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Nu O</name><affiliation wicri:level="2"><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Biostatistics, UCLA School of Public Health, 90095-1772, Los Angeles, CA</wicri:regionArea><placeName><region type="state">Californie</region></placeName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">États-Unis</country></affiliation></author><author><name sortKey="Castillo Chavez, C" sort="Castillo Chavez, C" uniqKey="Castillo Chavez C" first="C." last="Castillo-Chavez">C. Castillo-Chavez</name><affiliation wicri:level="2"><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Mathematics and Statistics, Arizona State University, 85287-1804, Temple, AZ</wicri:regionArea><placeName><region type="state">Arizona</region></placeName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">États-Unis</country></affiliation></author><author><name sortKey="Feng, Z" sort="Feng, Z" uniqKey="Feng Z" first="Z." last="Feng">Z. Feng</name><affiliation wicri:level="2"><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Mathematics, Purdue University, 47907, West Lafayette, IN</wicri:regionArea><placeName><region type="state">Indiana</region></placeName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">États-Unis</country></affiliation></author><author><name sortKey="Martcheva, M" sort="Martcheva, M" uniqKey="Martcheva M" first="M." last="Martcheva">M. Martcheva</name><affiliation wicri:level="2"><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Mathematics, Florida University, 32611-8105, Gainesville, FL</wicri:regionArea><placeName><region type="state">Floride</region></placeName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">États-Unis</country></affiliation></author></analytic><monogr></monogr><series><title level="s" type="main" xml:lang="en">Lecture Notes in Mathematics</title><idno type="ISSN">0075-8434</idno><idno type="ISSN">0075-8434</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0075-8434</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">This chapter compiles some of the results on influenza dynamics that involve a single strain, as well as two competing strains. The emphasis is on the role of cross-immunity, quarantine and age-structure as mechanisms capable of supporting recurrent influenza epidemic outbreaks. Quarantine or age-structure alone can support oscillations while cross-immunity enhances the likelihood of strain coexistence and impacts the length of the period. It is the hope that the perspective provided here will instigate others to use mathematical models in the study of disease transmission and its evolution, particularly in a setting that involves highly variable pathogens.</div></front></TEI><affiliations><list><country><li>États-Unis</li></country><region><li>Arizona</li><li>Californie</li><li>Floride</li><li>Indiana</li></region></list><tree><country name="États-Unis"><region name="Californie"><name sortKey="Nu O, M" sort="Nu O, M" uniqKey="Nu O M" first="M." last="Nu O">M. Nu O</name></region><name sortKey="Castillo Chavez, C" sort="Castillo Chavez, C" uniqKey="Castillo Chavez C" first="C." last="Castillo-Chavez">C. Castillo-Chavez</name><name sortKey="Castillo Chavez, C" sort="Castillo Chavez, C" uniqKey="Castillo Chavez C" first="C." last="Castillo-Chavez">C. Castillo-Chavez</name><name sortKey="Feng, Z" sort="Feng, Z" uniqKey="Feng Z" first="Z." last="Feng">Z. Feng</name><name sortKey="Feng, Z" sort="Feng, Z" uniqKey="Feng Z" first="Z." last="Feng">Z. Feng</name><name sortKey="Martcheva, M" sort="Martcheva, M" uniqKey="Martcheva M" first="M." last="Martcheva">M. Martcheva</name><name sortKey="Martcheva, M" sort="Martcheva, M" uniqKey="Martcheva M" first="M." last="Martcheva">M. Martcheva</name><name sortKey="Nu O, M" sort="Nu O, M" uniqKey="Nu O M" first="M." last="Nu O">M. Nu O</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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