Mathematical models of influenza

The role of cross-immunity, quarantine and age-structure

M. Nuño, Carlos Castillo-Chavez, Z. Feng, M. Martcheva

Research output: Chapter in Book/Report/Conference proceedingChapter

11 Citations (Scopus)

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.

Original languageEnglish (US)
Title of host publicationLecture Notes in Mathematics
Pages349-364
Number of pages16
Volume1945
DOIs
StatePublished - 2008

Publication series

NameLecture Notes in Mathematics
Volume1945
ISSN (Print)00758434

Fingerprint

Quarantine
Age Structure
Influenza
Immunity
Mathematical Model
Coexistence
Likelihood
Oscillation

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

Cite this

Nuño, M., Castillo-Chavez, C., Feng, Z., & Martcheva, M. (2008). Mathematical models of influenza: The role of cross-immunity, quarantine and age-structure. In Lecture Notes in Mathematics (Vol. 1945, pp. 349-364). (Lecture Notes in Mathematics; Vol. 1945). https://doi.org/10.1007/978-3-540-78911-6_13

Mathematical models of influenza : The role of cross-immunity, quarantine and age-structure. / Nuño, M.; Castillo-Chavez, Carlos; Feng, Z.; Martcheva, M.

Lecture Notes in Mathematics. Vol. 1945 2008. p. 349-364 (Lecture Notes in Mathematics; Vol. 1945).

Research output: Chapter in Book/Report/Conference proceedingChapter

Nuño, M, Castillo-Chavez, C, Feng, Z & Martcheva, M 2008, Mathematical models of influenza: The role of cross-immunity, quarantine and age-structure. in Lecture Notes in Mathematics. vol. 1945, Lecture Notes in Mathematics, vol. 1945, pp. 349-364. https://doi.org/10.1007/978-3-540-78911-6_13
Nuño M, Castillo-Chavez C, Feng Z, Martcheva M. Mathematical models of influenza: The role of cross-immunity, quarantine and age-structure. In Lecture Notes in Mathematics. Vol. 1945. 2008. p. 349-364. (Lecture Notes in Mathematics). https://doi.org/10.1007/978-3-540-78911-6_13
Nuño, M. ; Castillo-Chavez, Carlos ; Feng, Z. ; Martcheva, M. / Mathematical models of influenza : The role of cross-immunity, quarantine and age-structure. Lecture Notes in Mathematics. Vol. 1945 2008. pp. 349-364 (Lecture Notes in Mathematics).
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