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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical biology 17 (1983), S. 163-177 
    ISSN: 1432-1416
    Keywords: Epidemic model ; Subharmonic solution ; Bifurcation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract An S → I → R epidemic model with annual oscillation in the contact rate is analyzed for the existence of subharmonic solutions of period two years. We prove that a stable period two solution bifurcates from a period one solution as the amplitude of oscillation in the contact rate exceeds a threshold value. This makes rigorous earlier formal arguments of Z. Grossman, I. Gumowski, and K. Dietz [4].
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical biology 17 (1983), S. 179-190 
    ISSN: 1432-1416
    Keywords: Epidemic model ; Subharmonic solutions ; Bifurcation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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