UTA Department of Mathematics

Applied Mathematics Seminar

Date/Time/Room: 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"

Abstract: 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.