Sensitivity analysis of basic reproduction number on the HIV/AIDS disease transmission model with education and treatment.

HIV/AIDS is an infectious disease caused by the infection of HIV (Human Immunodeficiency Virus) virus that decrease the immune system by attacking and damaging CD4 cells which are types of white blood cells (lymphocytes). The decreasing of immune system due to HIV virus then causes damage to AIDS (Acquired Immunodeficiency Syndrome). People with HIV virus infection can take an ARV (Anti Retroviral Therapy) treatment. ARV treatment is an effort that can be done to reduce the HIV viruses inside the body and can extend life time before the disease turn into AIDS. In this paper, a mathematical model of the spread of HIV/AIDS with education and treatment will be discussed. Furthermore, a numerical simulation and sensitivity analysis of basic reproductive numbers will be discussed to determine the parameters which havethe most effect on the spread of HIV/AIDS disease. In the mathematical model of the spread of HIV/AIDS with education and treatment, the most influential parameters is the rate of transmission of susceptible individuals caused by an undiagnosed HIV virus individual and the level of success of education given to susceptible individuals as an effort to prevent the spread of HIV viruses. [ABSTRACT FROM AUTHOR]