Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 1 1 2013 09 21 On the Homotopy Analysis Method for an Seir Tuberculosis Model 71 75 EN M.O. Ibrahim S.A. Egbetade Department of Mathematics & Statistics, The Polytechnic, Ibadan, Nigeria AJAMS2013144 10.12691/ajams-1-4-4 2013 08 13 2013 08 21 2013 09 21 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.