DOI: 10.36347/sjpms.2020.v07i12.004

Pages: 413-429

Despite the fact that HIV/AIDS can be contacted through casual contact, sexual intercourse, blood transmission, using razor blend, are still stigmatized in the society. In this research work, the application of first order linear differential equation in the spread of HIV/AIDs obtained using logistic model variable method, It has been discovered that the concept of each year a large number of people all over the world die from HIV/AIDS. Although there are many complicating factors behind the spread of HIV, we still believe that relevant mathematical models can provide a good insight of the dynamics of the spread of it. If we can provide a satisfactory profile of this dynamics, it will certainly help government officials to make timely remedial actions. In the present work, we have established mathematical and logistic models of epidemiology for the spread of HIV. We have made a search for equilibrium points for the system and discussed about their stabilities. Efforts have been made to find the solution of the proposed system. Based on extensive analysis relevant comments are made on mutual co- existence of the group infected by HIV and the group not infected by that. To enlighten the public on how to avoid discrimination and stigmatization of people who are living with HIV/AIDS using mathematical model.