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Research Report SRR95-033
Modelling the spread of HIV in prisons: dedicated to the memory of Ted
Hannan
J. Gani
Abstract:
This paper is concerned with models for the spread of HIV in prisons. We
first consider
a single prison of size N in which there is homogeneous mixing, and
where
there id an
inflow and outflow of n \leq N prisoners at times
t=0,1,2,....
Conditions are
derived for the stability of the system. The interaction of such a prison
with the
outside world is then studied, and stability conditions obtained for this
case. Finally,
a quarantine policy is examined and its cost analyzed, both in the
non-stable and stable
cases.
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