TY  - JOUR
T1  - Age-Structured Epidemic Model for Transmission Dynamics of Tuberculosis
AU - , Umar Mallam Abdulkarim 
JO  - Research Journal of Applied Sciences
VL  - 2
IS  - 3
SP  - 307
EP  - 309
PY  - 2007
DA  - 2001/08/19
SN  - 1815-932x
DO  - rjasci.2007.307.309
UR  - https://makhillpublications.co/view-article.php?doi=rjasci.2007.307.309
KW  - Transmission dynamics model
KW  -mortality rate
KW  -stability
KW  -population compartments
KW  -vaccination
AB  - We proposed an age structured transmission dynamics model for the transmission of Tuberculosis, along the line of the classical Mckendrick-Foerster, age-structured population models based on some assumptions contrary to the Castillo-Chavez assumptions of age depended mortality rate and age depended contact rate, vaccination and treatment rates of the infected. Rather, our model assumes constant contact rate,  no vaccination and treatment, infectives are removed and quarantine till non- disease induced death. We then examined the existence of non trivial steady states of the model and discussed their stability via the basic reproductive number of the disease. Also the equations for the population compartments are obtained.
ER  -