M. Iannelli et al., THE HIV AIDS EPIDEMICS AMONG DRUG INJECTORS - A STUDY OF CONTACT STRUCTURE THROUGH A MATHEMATICAL-MODEL/, Mathematical biosciences, 139(1), 1997, pp. 25-58
Numerical results of a model with variable infectivity for the dynamic
s of HIV/AIDS (human immunodeficiency virus/acquired immune deficiency
syndrome) have been compared with the data of AIDS cases among intrav
enous drug users in Italy, especially in the Latium region. We examine
d several hypotheses about the dynamics of the epidemics; for each we
obtained, mainly through a least-square approach but also minimizing a
different quantity, a best-fit estimate of the parameters. In the sim
plest model, the population is assumed to be homogeneous, and we estim
ate contact rate and year of start of the epidemics, obtaining a good
fit up to 1989, less so after. A substantial increase in fit is obtain
ed in assuming either a decrease of the contact rate over time or a he
terogeneous population with a smaller active group. We have also compa
red models with different infectivity curves during the incubation per
iod: the assumption of constant infectivity is untenable, whereas the
often suggested hypothesis of a peak in infectivity shortly after infe
ction seems to be in agreement with data. (C) Elsevier Science Inc, 19
97