On April 25, 2006, PED Seminar Series Presents
On a class of models for HIV dynamics
by Professor Jorge ZubelliModeling the dynamics of the human immunodeficiency virus (HIV) is a subject that has received a tremendous amount of attention in recent years due to its importance in understanding and predicting the viral behavior in the organism.
In this talk, we present a class of mathematical models for the dynamics of HIV using integro-differential systems. These models use an abstract probability space to take into account mutation and extend those proposed by Nowak and Bangham.
We discuss existence and uniqueness for solutions of the integro-differential systems under suitable hypothesis. We also discuss several aspects of the dynamics, including boundedness, stationary solutions and stability. We close with a discussion of the problem of parameter identification of the different ingredients involved in the model. This is joint work with Dayse H, Pastore (LNCC).
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