Addiction Dynamics May Explain the Slow Decline of Smoking Prevalence
The prevalence of cigarette smoking in the United States has declined very slowly over the last four decades, despite much effort by multiple governmental and non-governmental institutions. Peer influence has been shown to be the largest contributing factor to the spread of smoking behavior, which suggests the use of epidemic models for understanding this phenomenon. Here we develop a structured resistance model, which is an SIS model extended to include multiple S and I states corresponding to different levels of addiction. This model exhibits a backward bifurcation, which means that once the behavior is endemic, it can be very difficult to remove entirely from the population. We do numerical experiments with the Framingham Heart Study social network to show that the resulting epicurve closely matches empirical data on the overall decline in smoking behavior.
KeywordsBifurcation Diagram Smoking Behavior Smoking Prevalence Epidemic Model Framingham Heart Study
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- 1.Barrett, C., Eubank, S., Marathe, A., Marathe, M., Pan, Z., Swarup, S.: Information integration to support policy informatics. The Innovation Journal 16(1), article 2 (2011)Google Scholar
- 2.Boguñá, M., Pastor-Satorras, R., Vespignani, A.: Epidemic spreading in complex networks with degree correlations. In: Pastor-Satorras, R., Rubi, J.M., Diaz-Guilera, A. (eds.) Statistical Mechanics of Complex Networks. Lecture Notes in Physics, vol. 625, pp. 127–147 (2003)Google Scholar
- 6.Centers for Disease Control and Prevention. Cigarette use among high school students – United States, 1991-2009. Technical Report MMWR 2010 59,797–801, Centers for Disease Control and Prevention (2010)Google Scholar
- 7.Centers for Disease Control and Prevention. Early release of selected estimates based on data from the 2010 National Health Interview Survey: current smoking (2010)Google Scholar
- 8.Gilman, S.E., Rende, R., Boergers, J., Abrams, D.B., Buka, S.L., Clark, M.A., Colby, S.M., Hitsman, B., Kazura, A.N., Lipsitt, L.P., Lloyd-Richardson, E.E., Rogers, M.L., Stanton, C.A., Stroud, L.R., Niaura, R.S.: Parental smoking and adolescent smoking initiation: An intergenerational perspective on tobacco control. Pediatrics 123, e274–e281 (2009)CrossRefGoogle Scholar
- 13.U.S. Department of Health and Human Services. The health benefits of smoking cessation: A report of the Surgeon General. Atlanta: Centers for Disease Control and Prevention, National Center for Chronic Disease Prevention and Health Promotion, Office on Smoking and HealthGoogle Scholar
- 14.U.S. Department of Health and Human Services. Reducing the health consequences of smoking: 25 years of progress. a report of the Surgeon General. U.S. Department of Health and Human Services, Public Health Service, Centers for Disease Control, Center for Chronic Disease Prevention and Health Promotion, Office on Smoking and Health. Technical Report DHHS Publication No. (CDC) 89-8411, U.S. Department of Health and Human Services, Public Health Service, Centers for Disease Control, Center for Chronic Disease Prevention and Health Promotion, Office on Smoking and Health (1989)Google Scholar
- 15.National Institute on Drug Abuse. Infofacts: Cigarettes and other tobacco products (2011)Google Scholar
- 16.National Institute on Drug Abuse. Tobacco addiction - research report series (2011)Google Scholar