eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 2013-09-21 1 1 71 75 10.12691/ajams-1-4-4 AJAMS2013144 article M.O. Ibrahim 1 S.A. Egbetade egbetades@yahoo.com 2 Department of Mathematics, University of Ilorin, Ilorin, Nigeria Department of Mathematics & Statistics, The Polytechnic, Ibadan, Nigeria In this paper, we provide a very accurate, non-perturbative, semi-analytical solution to a system of nonlinear first-order differential equations modeling the transmission of tuberculosis (TB) in a homogeneous population. Our analysis is based on Homotopy Analysis Method (HAM). Maple 15 software is used to carry out the computations. Our results show the validity and potential of HAM for computing the solution of nonlinear equations. http://pubs.sciepub.com/ajams/1/4/4/ajams-1-4-4.pdf uberculosis homotopy analysis method series solution nonlinear equations mathematical model