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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