No abstract

In this paper, an analytic technique, namely Homotopy Analysis Mothed (HAM) has been applied for solving SEIR model. The method (HAM) provides a direct scheme for solving the model, and also provides a convinient way of quranteeing the convergence of solution series, so that it is valid for highly non-linear problems. In this respect, we

Abstract:In this paper, we study a vaccination model for tuberculosis (TB)

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.

Abstract:We considered an MSEIR epidemic model as proposed by Hethcote (2000). Homotopy analysis method is used to solve the problem because of its advantages over methods.