6533b836fe1ef96bd12a09f3

RESEARCH PRODUCT

Solving a model for the evolution of smoking habit in Spain with homotopy analysis method

Rafael J. VillanuevaFrancisco-j. SantonjaFrancisco Guerrero

subject

education.field_of_studyApplied MathematicsPopulationMathematical analysisGeneral EngineeringGeneral MedicineDynamic modelBirth–death processDomain (mathematical analysis)Homotopy-Padé techniqueSmoking modelComputational MathematicsRange (mathematics)Homotopy analysis methodEpidemic modelConvergence (routing)educationEpidemic modelConstant (mathematics)MATEMATICA APLICADAGeneral Economics Econometrics and FinanceAnalysisHomotopy analysis methodMathematics

description

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-Padé technique. We present and discuss graphical results for our solutions. ©

yearjournalcountryeditionlanguage
2013-02-01
10.1016/j.nonrwa.2012.07.015https://doi.org/10.1016/j.nonrwa.2012.07.015