Age-Structured Transmission Dynamics Model for Vertical and Horizontal Transmission of HIV/AIDS

Transmission dynamics model for HIV/AIDS, along the line of Mckendrick-Forester age-structured model is proposed with the natural mortality rate and the fertility functions assumed to be age depended, similar to Doma, Gurtin-MacCamy definitions. The solutions to the governing equations are obtained and the steady states are examined for their local stability. The model is further extended to study the case of constant mortality rate and an exponential type of interaction function. It is observed that the endemic steady exist and asymptotically stable.