DESIGNING OF A NOVEL MATHEMATICAL MODEL FOR THE ANALYSIS OF AIDS TRANSMISSION CAUSED BY CO- INFECTION OF HIV WITH TB

This manuscript describes a combined SIS-SIRS model with migration for the spread of AIDS caused in co- infection involving TB and HIV is proposed. In modeling the problem, it is assumed that an HIV infected individual’s interacts with TB infected persons the former to have HIV & TB. It is assumed further that a fraction of this HIV class becomes AIDS patients. It is also considered that a certain fraction of TB class form a reservoir class, a part of which may recover and becomes susceptibles again. The model is analysed by using stability theory of differential equation. It is shown that AIDS epidemic spread faster due to co- infection of HIV with TB.