Dynamics of influenza A drift: The linear three-strain model

Juan Lin, Viggo Andreasen, Simon Asher Levin

Research output: Contribution to journalArticle

66 Scopus citations

Abstract

We analyze an epidemiological model consisting of a linear chain of three cocirculating influenza A strains that provide hosts exposed to a given strain with partial immune cross-protection against other strains. In the extreme case where infection with the middle strain prevents further infections from the other two strains, we reduce the model to a six- dimensional kernel capable of showing self-sustaining oscillations at relatively high levels of cross-protection. Dimensional reduction has been accomplished by a transformation of variables that preserves the eigenvalue responsible for the transition from damped oscillations to limit cycle solutions.

Original languageEnglish (US)
Pages (from-to)33-51
Number of pages19
JournalMathematical Biosciences
Volume162
Issue number1-2
DOIs
StatePublished - Nov 1 1999

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Keywords

  • Cross-immunity
  • Influenza drift
  • Multiple strains

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