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| Paper IPM / M / 740 |
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| Abstract: | |
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Models for sexually transmitted disease generally assume that the
influence of all individuals is identical in the spread of disease
during the period of infection. In this paper, two disease
transmission models, which depend on the core group (the group of
individuals who are sexually very active) are examined. In the
first model, the core group is a subpopulation of susceptibles and
in the second model, the core group is a subpopulation of
infectives. It is assumed that each core individual comes into
sexual contact with an average number of other individuals per
unit time. For each model the threshold conditions for an endemic
infection are determined. The stability at the uninfected state
and the prevalence at the infected state are investigated. The
results show that the transmission dynamics of epidemic disease is
critically dependent on the effects of small subpopulations with
varying levels of sexual activity. Therefore, the average number
of sexual encounters of the core group can play an important role
in the spread of disease.
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