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INTERVENTION STRATEGIES FOR THE DYNAMICS OF POPULATION WITH OVEREATING BEHAVIOR

  • MINHYE KIM (DEPARTMENT OF MATHEMATICS, KYUNGPOOK NATIONAL UNIVERSITY) ;
  • YONGKUK KIM (DEPARTMENT OF MATHEMATICS, KYUNGPOOK NATIONAL UNIVERSITY) ;
  • CHUNYOUNG OH (DEPARTMENT OF MATHEMATICS EDUCATION, CHONNAM NATIONAL UNIVERSITY)
  • Received : 2023.04.01
  • Accepted : 2023.06.13
  • Published : 2023.06.25

Abstract

Disordered eating behaviors, such as overeating, are known to be contagious in the general population. The objective of our research is to find an optimal control strategy to reduce the social burden of unhealthy overeating behavior by establishing and analyzing a mathematical model for the social transmission dynamics of unhealthy overeating. We consider four compartments in the population: normal weight with normal eating behavior, normal weight with overeating behavior, overweight with normal eating behavior, and overweight with overeating behavior. Simulation results under various control scenarios show that integrated control measures may be necessary to reduce the growth rate of the overeating population.

Keywords

Acknowledgement

This work was supported by Kyungpook National University Development Project Research Fund, 2020.

References

  1. Caballero, B., The global epidemic of obesity: an overview, Epidemiologic Reviews, 29 (2007), 1-5.  https://doi.org/10.1093/epirev/mxm012
  2. Tiwari, A. & Balasundaram, P., Public health considerations regarding obesity, (2021). 
  3. Hall, K., Butte, N., Swinburn, B. & Chow, C., Dynamics of childhood growth and obesity: development and validation of a quantitative mathematical model, The Lancet Diabetes & Endocrinology, 1 (2013), 97-105.  https://doi.org/10.1016/S2213-8587(13)70051-2
  4. Christakis, N. & Fowler, J., Social contagion theory: examining dynamic social networks and human behavior, Statistics In Medicine, 32 (2013), 556-577.  https://doi.org/10.1002/sim.5408
  5. Jodar, L., Santonja, F. & Gonzalez-Parra, G., Modeling dynamics of infant obesity in the region of Valencia, Spain, Computers & Mathematics With Applications, 56 (2008), 679-689.  https://doi.org/10.1016/j.camwa.2008.01.011
  6. Thomas, D., Weedermann, M., Fuemmeler, B., Martin, C., Dhurandhar, N., Bredlau, C., Heymsfield, S., Ravussin, E. & Bouchard, C., Dynamic model predicting overweight, obesity, and extreme obesity prevalence trends Obesity, 22 (2014), 590-597.  https://doi.org/10.1002/oby.20520
  7. Shoham, D., Hammond, R., Rahmandad, H., Wang, Y. & Hovmand, P., Modeling social norms and social influence in obesity Current Epidemiology Reports, 2 (2015), 71-79.  https://doi.org/10.1007/s40471-014-0032-2
  8. Santonja, F., Villanueva, R., Jodar, L. & Gonzalez-Parra, G., Mathematical modelling of social obesity epidemic in the region of Valencia, Spain, Mathematical And Computer Modelling Of Dynamical Systems, 16 (2010), 23-34.  https://doi.org/10.1080/13873951003590149
  9. Schofield, L., Mummery, K., Schofield, G. & Hopkins, W., The association of objectively determined physical activity behavior among adolescent female friends, Research Quarterly For Exercise And Sport, 78 (2007), 9-15.  https://doi.org/10.1080/02701367.2007.10599398
  10. Voorhees, C., Murray, D., Welk, G., Birnbaum, A., Ribisl, K., Johnson, C., Pfeiffer, K., Saksvig, B., & Jobe, J., The role of peer social network factors and physical activity in adolescent girls, American Journal Of Health Behavior, 29 (2005), 183-190.  https://doi.org/10.5993/AJHB.29.2.9
  11. Herman, C., Roth, D. & Polivy, J., Effects of the presence of others on food intake: a normative interpretation, Psychological Bulletin, 129 (2003), 873. 
  12. Frerichs & Huang, K., Modeling social transmission dynamics of unhealthy behaviors for evaluating prevention and treatment interventions on childhood obesity, PloS One, 8 (2013), e82887. 
  13. Wang, W., Mathematical Analysis of an Obesity Model with Eating Behaviors, CSIAM Trans. Appl. Math., 1 (2020), 240-255.  https://doi.org/10.4208/csiam-am.2020-0007
  14. Oh, C. & MA, M., Optimal intervention strategies for the spread of obesity, Journal Of Applied Mathematics, 2015 (2015). 
  15. Diekmann, O. & Heesterbeek, J., Mathematical epidemiology of infectious diseases: model building, analysis, and interpretation, John Wiley & Sons, 2000. 
  16. Driessche, P. & Watmough, J., Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical Biosciences, 180 (2002), 29-48.  https://doi.org/10.1016/S0025-5564(02)00108-6
  17. Lenhart, S. & Workman, J., Optimal control applied to biological models, Chapman, 2007. 
  18. Sim, L., Parker, L., Kumanyika, S. & Others, Bridging the evidence gap in obesity prevention: a framework to inform decision making, National Academies Press, 2010. 
  19. Turner, M., Ford, L., Somerville, V., Javellana, D., Day, K. & Lapinski, M., The use of stigmatizing messaging in anti-obesity communications campaigns: quantification of obesity stigmatization, Communication Reports, 33 (2020), 107-120.  https://doi.org/10.1080/08934215.2020.1793375
  20. Kite, J., Grunseit, A., Bohn-Goldbaum, E., Bellew, B., Carroll, T. & Bauman, A., A systematic search and review of adult-targeted overweight and obesity prevention mass media campaigns and their evaluation: 2000-2017, Journal Of Health Communication, 23 (2018), 207-232. https://doi.org/10.1080/10810730.2018.1423651