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
URL:
http://dx.doi.org/10.1007/BF00305757
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