Journal of Mathematical Biology

, Volume 17, Issue 2, pp 179–190

Multiple stable subharmonics for a periodic epidemic model

  • H. L. Smith

DOI: 10.1007/BF00305758

Cite this article as:
Smith, H.L. J. Math. Biology (1983) 17: 179. doi:10.1007/BF00305758


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.

Key words

Epidemic model Subharmonic solutions Bifurcation 

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • H. L. Smith
    • 1
  1. 1.Department of MathematicsArizona State UniversityTempeUSA

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