[HIV incidence in cases of tuberculosis in Armenia, Colombia]

Tuberculosis (TB) and the acquired immune deficiency syndrome (AIDS) are closely related diseases because TB is considered one of the opportunistic diseases for AIDS. When investigating the resurgence of TB it is very important epidemiologically to take into account the influence of AIDS prevalence on TB. This paper develops a procedure establishing HIV prevalence in TB for people in Armenia, Quindío, by using a mathematical model. This was done by building two deterministic models and relating them through a linear transfer function model. To parameters involved in these models had to be estimated to relate them; a technique was then built from unbiased estimators of minimum variance and secondary information for the parameters of each disease, taking into account the town's Secretariat of Health's secondary information. The model for Armenia led to concluding that tuberculosis resulted from people who had suffered from tuberculosis 4 periods (trimesters) ago and those sick from AIDS 2 periods ago, including the present. The procedure described in this work was seen to be applicable to the pathologies to which it is related.