The dynamics of cocirculating influenza strains conferring partial cross-immunity.

V. Andreasen, J. Lin, S. A. Levin

Research output: Contribution to journalArticle

210 Scopus citations

Abstract

We develop a model that describes the dynamics of a finite number of strains that confer partial cross-protection among strains. The immunity structure of the host population is captured by an index-set notation where the index specifies the set of strains to which the host has been exposed. This notation allows us to derive threshold conditions for the invasion of a new strain and to show the existence of an endemic multi-strain equilibrium in a special case. The dynamics of systems consisting of more than two strains can exhibit sustained oscillations caused by an overshoot in the immunity to a specific strain of cross-protection is sufficiently strong.

Original languageEnglish (US)
Pages (from-to)825-842
Number of pages18
JournalJournal of mathematical biology
Volume35
Issue number7
DOIs
StatePublished - Aug 1997
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

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