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  • 1
    Electronic Resource
    Electronic Resource
    Asymptotic behavior in a deterministic epidemic model (1973)
    Springer
    Bulletin of mathematical biology 35 (1973), S. 607-614 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The effects of a periodic contact rate and of carriers are considered for a generalization of Bailey's simple epidemic model. In this model it is assumed that individuals become susceptible again as soon as they recover from the infection so that a fixed population can be divided into a class of infectives and a class of susceptibles which vary with time. If the contact rate is periodic, then the number of infectives as time approaches infinity either tends to zero or is asymptotically periodic depending on whether the total population size is less than or greater than a threshold value. The behavior for large time of the number of infectives is determined for three modifications of the model which involve carriers.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458365
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