Pemodelan Penyebaran Infeksi HIV pada Komunitas Injecting Drug Users (IDU)

Abstract

HIV (Human Immunodeficiency Virus) is a virus that can cause AIDS (Acquired Immune Deficiency Syndrome) and can not be cured. Transmission of HIV infection in injecting drug addicts community (Injecting Drug Users / IDU) are vulnerable happen through needle exchange mechanism. Modeling the spread of infection using the assumption that addicts who already have AIDS participated in a community syringe sharing IDU. Infection is strongly influenced by the strength of needle exchange mechanism and to analyze the behavior of the spread of infection in the IDU community first determine the basic reprodution ratio ( ) and two equilibrium points of the model are free infection equilibrium and the equilibrium point of the epidemic. Then, determined point stability of the free infection equilibrium point by using Lyapunov stability theorem. Conclusions of the study indicate that if > 1 then the epidemic of HIV infection in the IDU community and otherwise if ≤ 1 then no epidemic of HIV infection in the IDU community.