Applied Mathematics Seminar
Friday (09/24/2004) at 2:00pm in 304 Pickard Hall
Speaker: Professor Christopher Kribs Zaleta,
Department of Mathematics,
University of Texas at Arlington
"Effects of treatment programs and
genetic resistance on the spread of AIDS"
Current treatment programs for HIV act to reduce viral load in the patient.
This has the effects of reducing the individual's infectivity (which is
good for the population at large) and extending the individual's infective
period (which is bad for the population at large). Genetic resistance
to HIV detected in some populations has similar effects, and the question
arises in each case what the overall effect is on the spread of the HIV/AIDS
epidemic. We propose a dynamical system to model these features of HIV
transmission and focus analysis on the infection's basic reproductive number
to derive criteria for when treatment programs and genetic resistance
benefit the population at large as well as the individual.