Mathematical Model Approach To HIV/AIDS Transmission From Mother To Child
Basavarajaiah.D. M. B. Narasimhamurthy, K. Maheshappa. B. Leelavathy
Key words: AIDS, HIV, PMTCT, DTSM, ARV’s, Vertical transmission, NACO
ABSTRACT:- AIDS is a devastating disease, more than 2.50 million of the infected populations died every year (NACO).For the control of diseases transmission need to be implementation of public health program, i.e., it helps to minimize the destruction caused by AIDS epidemic. Mathematical models and underlying transmission mechanism of the HIV can help the scientific, medical and researcher to understand and anticipate its spread in different population. Present study fitted mathematical models, which exhibit two equilibriums namely, the disease-free and the endemic equilibrium. It is found that if the basic reproduction number R0 <1, the disease-free equilibrium is always locally asymptotically stable and in such a case the endemic equilibrium does not exist. If R0 >1, a unique equilibrium exist which locally asymptotically stable and becomes globally asymptotically stable under certain conditions showing that the disease becomes endemic due to vertical transmission.
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