Umar Mallam Abdulkarim , H.S. Ndakwo , Mathematical Model for Vertical Transmission of HIV/IDS, in a Homogeneous Mixing Population, Research Journal of Applied Sciences, Volume 2,Issue 4, 2007, Pages 367-371, ISSN 1815-932x, rjasci.2007.367.371, (https://makhillpublications.co/view-article.php?doi=rjasci.2007.367.371) Abstract: In this study, we studied the Susceptible-Exposed-Infectious-Aids, (SEIA) Epidemic model for vertical transmission of HIV/AIDS, along the line of Michael et al. assumptions with other additional considerations and employed the Routh-Hurwitz stability conditions and the threshold parameter, to examine the equilibrium states, (disease-freeequilibrium, DFE and the endemic equilibrium, EE states,). The threshold conditions for the stability of the disease-fee equilibrium and endemic equilibrium states are obtained and the Biological interpretations are also provided. Keywords: Basic reproductive number;HIV/AIDS;DFE;EE;vertical transmission;latency;infectious period;mortality rate