Analysis of HIV/AIDS transmission dynamics among female sex labourers

In this proposed work, a non-linear mathematical model of HIV/AIDS transmission dynamics amongst female whores is formulated with the aid of using dividing the entire populace into 3 compartments specially male, female and sex labourers. The developed model that is equally divided into four categories i.e. inclined magnificence, sluggish infective magnificence, speedy infective magnificence and full-blown AIDS magnificence. We examine the basic reproduction number (R0)for the eradiction of disease. Further we have shown that if the value of reproduction number (R0) is less than unity, the disease dies out and if the value of reproduction number (R0) is greater than unity, the disease will spread. The stability analysis of disease free equilibrium (DFE) and endemic equilibrium (EE) is analysed.