Multiple stable subharmonics for a periodic epidemic model

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Abstract

The S → I → R epidemic model of K. Dietz with annual oscillation in the contact rate is shown to have multiple stable subharmonic solutions of different integral year periods.

Original languageEnglish (US)
Pages (from-to)179-190
Number of pages12
JournalJournal Of Mathematical Biology
Volume17
Issue number2
DOIs
StatePublished - Jun 1 1983

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Keywords

  • Bifurcation
  • Epidemic model
  • Subharmonic solutions

ASJC Scopus subject areas

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

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