### 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 language | English (US) |
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Title of host publication | Mathematical Epidemiology |

Publisher | Springer Verlag |

Pages | 349-364 |

Number of pages | 16 |

Volume | 1945 |

ISBN (Print) | 9783540789109 |

DOIs | |

Publication status | Published - Jan 1 2008 |

Externally published | Yes |

### Publication series

Name | Lecture Notes in Mathematics |
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Volume | 1945 |

ISSN (Print) | 0075-8434 |

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### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

*Mathematical Epidemiology*(Vol. 1945, pp. 349-364). (Lecture Notes in Mathematics; Vol. 1945). Springer Verlag. https://doi.org/10.1007/978-3-540-78911-6_13