An Age-Structured Model for Childhood Obesity

REFERENCES

• Anderson , R. and May , R. ( 1991 ) . Infectious Diseases of Humans . Oxford : Clarendon Press .
   Google Scholar
• Bes-Rastrollo , M. , Sánchez-Villegas , A. , Gómez-Gracia , E. , Martínez , J. A. , Pajares , R. M. , and Martínez-González , M. ( 2006 ). Predictors of weight gain in a Mediterranean cohort: The seguimiento Universidad de Navarra study . American Journal of Clinical Nutrition , 83 : 362 – 370 .
   PubMedGoogle Scholar
• Brauer , F. and Castillo-Chavez , C. ( 2001 ) . Mathematical Models in Population Biology and Epidemiology . New York : Springer-Verlag .
   Google Scholar
• Castillo-Chavez , C. , Hethcote , H. , Andreases , V. , Levin , S. , and Liu , W. ( 1989 ). Epidemiological models with age structure, proportionate mixing, and cross-immunity . Journal of Mathematical Biology , 27 : 233 – 258 .
   PubMed Web of Science ®Google Scholar
• Centers for Disease Control and Prevention (CDC) . ( 2007 ). Overweight and Obesity: Health Consequences . Retrieved February 5, 2007, from http://www.cdc.gov/ nccdphp/dnpa/ obesity/consequences.htm
   Google Scholar
• Christakis , N. and Fowler , J. ( 2007 ). The spread of obesity in a large social network over 32 years . The New England Journal of Medicine , 357 : 370 – 379 .
   PubMed Web of Science ®Google Scholar
• ConselleriaSanitat (2007). Encuesta de salud de la comunidad Valenciana 2000–2001 [Health survey of the region of Valencia 2000–2001]. Retrieved February 5, 2007, from http://193.145.164.73/publicaciones/documentos/V.4857.2002.pdf
   Google Scholar
• DeGroot , M. ( 1988 ). Probabilidad y Estadistica [Probability and Statistics] . Mexico City , Mexico : Addison-Wesley .
   Google Scholar
• Diekmann , O. and Heesterbek , J. A. P. ( 2005 ) . Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation . West Sussex , UK : John Wiley & Sons .
   Google Scholar
• Ebbeling , C. , Pawlak , D. , and Ludwig , D. ( 2002 ). Childhood obesity: Public-health crisis, common sense cure . The Lancet , 360 ( 9331 ): 473 – 482 .
   PubMed Web of Science ®Google Scholar
• Evangelista , A. , Ortiz , A. , Rios-Soto , K. , and Urdapilleta , A. ( 2004 ) . USA the Fast Food Nation: Obesity as an Epidemic . Los Alamos , NM : Los Alamos National Laboratory . Retrieved February 5, 2007, from http://math.lanl.gov/Summer Programs/Reports2004/ev_or_ri_ur.pdf
   Google Scholar
• Fullana , A. , Momparler , P. , Quiles , J. , and Redondo , M. ( 2004 ). Situación actual de la obesidad en la infancia y en la adolescencia y estrategias de prevención 2005–2009 [Present situation of infant and adolescent obesity and prevention strategies 2005–2009 ]. Retrieved February 5, 2007, from www.sp.san.gva.es/ DgspPortal/docs/Informe_Obesidad.pdf
   Google Scholar
• Hethcote , H. ( 2000 ). The mathematics of infectious diseases . SIAM Review , 42 : 599 – 653 .
   Web of Science ®Google Scholar
• IVE . ( 2007 ). Instituto Valenciano de Estadística . Retrieved February 5, 2007, from http://www.ive.es
   Google Scholar
• Jódar , L. , Santonja , F. , and González-Parra , G. ( 2008 ). Modeling dynamics of infant obesity in the region of Valencia, Spain . Computers & Mathematics with Applications , 56 : 679 – 689 .
   Web of Science ®Google Scholar
• Moreno , L. , Sarría , A. , Fleta , J. , Rodríguez , G. , Pérez , J. , and Bueno , M. (2001). Sociodemographic factors and trends on overweight prevalence in children and adolescents in Aragón (Spain) from 1985 to 1995. Journal of Clinical Epidemiology , 54: 921–927.
   Google Scholar
• Nelder , J. and Mead , R. ( 1964 ). A simplex method for function minimization . The Computer Journal , 7 : 308 – 313 .
   Web of Science ®Google Scholar
• Noymer , A. ( 2001 ). The transmission and persistence of “urban legends”: Sociological application of age-structured epidemic models . Journal of Mathematical Sociology , 25 : 299 – 323 .
   Web of Science ®Google Scholar
• Ogden , C. , Flegal , K. , Carroll , M. , and Johnson , C. ( 2002 ). Prevalence and trends in overweight among us children and adolescents, 1999–2000 . JAMA , 288 : 1728 – 1732 .
   PubMed Web of Science ®Google Scholar
• Sobradillo , B. , Aguirre , A. , Aresti , U. , Bilbao , A. , Fernández-Ramos , C. , et al. . ( 2004 ). Curvas y tablas de crecimiento: Estudio longitudinal y transversal [Growth curves and tables: Longitudinal and transversal study ]. Retrieved May 24, 2007, from http://www.aepap.org/pdf/f_orbegozo_04.pdf
   Google Scholar
• Thieme , H. ( 2003 ) . Mathematics in Population Biology . Princeton , NJ : Princeton University Press .
   Google Scholar
• Wang , Y. ( 2001 ). Cross-national comparison of childhood obesity: The epidemic and the relationships between obesity and socioeconomic status . International Journal of Epidemiology , 30 : 1129 – 1136 .
   PubMed Web of Science ®Google Scholar
• Wang , Y. and Beydoun , M.A. ( 2007 ). The obesity epidemic in the United States – gender, age, socioeconomic, racial/ethnic, and geographic characteristics: A systematic review and meta-regression analysis . Epidemiological Reviews , 29 : 6 – 28 .
   PubMed Web of Science ®Google Scholar
• Wang , Y. and Lobstein , T. ( 2006 ). Worldwide trends in childhood overweight and obesity . International Journal of Pediatric Obesity , 1 : 11 – 25 .
   PubMed Web of Science ®Google Scholar