Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 14, Issue 1, Pages 549-558Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2012.07.015
Keywords
Dynamic model; Epidemic model; Homotopy analysis method; Homotopy-Pade technique; Smoking model
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We obtain an approximated analytical solution for a dynamic model for the prevalence of the smoking habit in a constant population but with equal and different from zero birth and death rates. This model has been successfully used to explain the evolution of the smoking habit in Spain. By means of the Homotopy Analysis Method, we obtain an analytic expression in powers of time t which reproduces the correct solution for a certain range of time. To enlarge the domain of convergence we have applied the so-called optimal convergence-control parameter technique and the homotopy-Pade technique. We present and discuss graphical results for our solutions. (C) 2012 Elsevier Ltd. All rights reserved.
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