Br. Levin et al., THE INTRINSIC RATE OF INCREASE OF HIV AIDS - EPIDEMIOLOGIC AND EVOLUTIONARY IMPLICATIONS, Mathematical biosciences, 132(1), 1996, pp. 69-96
A method derived from demographic theory is presented for modeling the
epidemiology of an infectious disease. For long-term infections, this
method better accounts for host variation in survival and transmissio
n rates than classical compartment models. Examples of the application
s of this method focus on a single long-term infectious disease, HIV/A
IDS. The method is employed to examine (1) how changes in transmission
rates during different stages of infection affect the rate of spread
of HIV/AIDS both in wholly susceptible populations and in populations
where the number of potential hosts is limited, (2) the way the relati
ve frequencies of the different stages of infection vary over time, (3
) how the rate at which the epidemic is growing (or diminishing) affec
ts the fraction of HIV-infected individuals who manifest the symptoms
of AIDS, (4) the effect of treatment on the rate of spread of HIV, and
(5) the potential effects of natural selection on the virulence of HI
V.