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

Nonlinear Analysis: Real World Applications

Volumn 14, Issue 1, 2013, Pages 549-558

  Guerrero, F ^a   Santonja, F J ^a   Villanueva, R J ^b  

^a UNIVERSITY OF VALENCIA   (Spain)

^b UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

Dynamic model; Epidemic model; Homotopy analysis method; Homotopy Pad technique; Smoking model

Indexed keywords

ANALYTIC EXPRESSIONS; CORRECT SOLUTION; DEATH RATES; EPIDEMIC MODELS; HOMOTOPY ANALYSIS METHODS;

NONLINEAR ANALYSIS; NONLINEAR SYSTEMS;

DYNAMIC MODELS;

EID: 84866403094     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2012.07.015     Document Type: Article

References (17)

1. F. Guerrero, F.J. Santonja, and R.J. Villanueva Analysing the effect of Spanish smoke-free legislation of year 2006: a new method to quantify its impact using a dynamic model Int. J. Drug Policy 22 2011 247 251
2. E. Sánchez, R.J. Villanueva, F.J. Santonja, and M. Rubio Predicting cocaine consumption in Spain. A mathematical modeling approach Drugs Edu. Prevent. Policy 18 2 2011 105 108
3. F.J. Santonja, E. Sánchez, M. Rubio, and J.L. Morera Alcohol consumption in Spain and its economic costs: a mathematical modeling approach Math. Comput. Modelling 52 2010 999 1003
4. F.J. Santonja, R.J. Villanueva, L. Jódar, and G. González Mathematical modeling of social obesity epidemic in the region of Valencia, Spain Math. Comput. Model. Dyn. Syst. 16 1 2010 23 34
5. J.D. Lambert Numerical Methods for Ordinary Differential Systems: The Initial Value Problem 1991 John Wiley and Sons Chichester, UK
6. S.J. Liao Beyond Perturbation: Introduction to the Homotopy Analysis Method 2003 Chapman and Hall, CRC Press Boca Raton
7. S.J. Liao On the homotopy analysis method for nonlinear problems Appl. Math. Comput. 174 2004 499 513
8. S.J. Liao An explicit totally analytic approximation of Blasius viscous flow problems Internat. J. Non-Linear Mech. 34 1999 759 778
9. S.J. Liao A new branch of solutions of boundary-layer flows over an impermeable stretched plate Int. J. Heat Mass Transfer 48 2005 2529 3259
10. S.J. Liao An optimal homotopy-analysis approach for strongly nonlinear differential equations Commun. Nonlinear Sci. Numer. Simul. 15 2010 2003 2016
11. S.J. Liao Homotopy Analysis Method in Nonlinear Differential Equations 2012 Springer & Higher Education Press Heidelberg
12. M. Ayub, A. Rasheed, and T. Hayat Exact flow of a third grade fluid past a porous plate using homotopy analysis method Internat. J. Engrg. Sci. 41 2003 2091 2103
13. T. Hayat, and M. Khan Homotopy solutions for a generalized second-grade fluid past a porous plate Nonlinear Dynam. 42 2005 395 405 (Pubitemid 41697996)
14. S. Abbasbandy The application of homotopy analysis method to nonlinear equations arising in heat transfer Phys. Lett. A 360 2006 109 113 (Pubitemid 44634988)
15. A. Sami, M.S.M. Noorani, and I. Hashim Solving systems of ODEs by homotopy analysis method Commun. Nonlinear Sci. Numer. Simul. 13 2008 2060 2070 (Pubitemid 351635970)
16. F. Awawdeh, A. Adawi, and Z. Mustafa Solutions of the SIR models of epidemics using HAM Chaos Solitons Fractals 42 2009 3047 3052
17. H. Khan, R.N. Mohapatra, K. Vajravelu, and S.J. Liao The explicit series solution of SIR and SIS epidemic models Appl. Math. Comput. 215 2009 653 669