HIV Vaccine Model with Application to Kenya

Abstract

.Many models for HIV pandemic have come up as humankind grapples with the blight. Scientists and policy makers are struggling to contain the scourge. Mathematicians are not left behind. They are modeling the epidemic as to demystify the transmission dynamics. This dissertation goes a step further than where the other modelers have reached. It envisages a situation where vaccine is found and administered to the Kenyan population. The weaknesses of vaccine are taken into account. Even though effective induction of immunological response may be engendered by HIV vaccine, the vaccine effect may wane with time or worse, the vaccine may protect only a fraction of the population in whom the effective immunological response was induced. A model to take the warung and the degree of protection into account is developed and simulated using SAS@ model procedure. The results show that ., any HIV vaccine with substantial efficacy will not only reduce the epidemic but may also stop it.