S. Noeiaghdam - Baikal School of BRICS, Irkutsk National Research Technical University, Irkutsk, Russian Federation.
K. Kamal Ali - Department of Mathematics, Faculty of Science, University of Zakho, Iraq.

An epidemiological model of smoking habit is studied by using one of flexible and accurate semi-analytical methods. For this reason, the homotopy analysis transform method (HATM) is applied. Convergence theorem is studied and several h-curves are demonstrated to show the convergence regions. Also, the optimal convergence regions are obtained by demonstrating the residual error functions versus h. The numerical tables are presented to show the precision of method.

Homotopy analysis method, Laplace transformation, Non-linear model of smoking habit