Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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A MODELING PERSPECTIVE OF DELIBERATE SELF-HARM

  • Do, Tae-Sug (DEPARTMENT OF MATHEMATICS EDUCATION, KWANDONG UNIVERSITY) ;
  • Lee, Young-S. (DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE, MANCHESTER COLLEGE)
  • Received : 2010.11.11
  • Accepted : 2010.11.29
  • Published : 2010.12.25
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Abstract

Deliberate self-harm (DSH) is the act of deliberately harming your own body, such as cutting or burning yourself, without suicidal intent. It has especially become a problem among adolescents and college-age students in institutional settings such as boarding schools, Greek houses, detention centers and hospitals. We focus on contagion of DSH among adolescents and young adults by creating a deterministic epidemiological model. We study the impact of actual peer pressure, virtual peer pressure (the Internet) and treatment analytically in terms of a basic reproduction number through stability analysis of a system of ordinary differential equations. All parameters are approximated and results are also explored by simulations. The model shows that DSH is present in an endemic state in the population considered, and the control strategies are discussed.

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References

  1. Alderman, T. (1997). The Scarred Soul: Understanding and Ending Self-inflicted Violence. Oakland, CA: New Harbinger.
  2. Carll, E. K. (2003). Self-injury behavior: Emerging trends. Bulletin of the Psychologists in Independent Practice, 23 (3).
  3. Darche, M. A. (1990). Psychological factors differntiating self-mutilating and non-self-mutilating adolescent inpatient females. Psychiatric Hospital, 21(1), 31-35
  4. DiClente, R. J., Ponton, L. E., & Hartley, D. (1991). Prevalence and correlates of cutting behavior: Risk for HIV transmission. Journal of the American Academy of Child and Adolescent Psychiatry, 30, 735-738
  5. Van den Driessche, P., Watmough, J. (2002). Reproduction numbers and subthreshold endemic equilibria for compartmental models of disease tranmission. Mathematical Biosciences 180, 29-48 https://doi.org/10.1016/S0025-5564(02)00108-6
  6. Diekmann, O., Heesterbeek, J. A. P., & Metz, J. A. J. (1990). On the definition and the computation of the basic reproduction ration $R_0$ in models from infectious diseases in heterogeneous population. Journal of Mathematical Biology, 28, 365-382
  7. Favazza, A. R. (1996). Bodies Under Siege: Self Mutilation and Body Modification in Culture and Psychiatry (2 ed.). Baltimore, MD: Johns Hopkins University Press.
  8. Favazza, A. R. (1989). Why patients self-mutilate. Hosp. Comm. Pyschiatry, 40, 137-145.
  9. Gratz, K. L. (2001). Measurement of Deliberate Self-Harm: Preliminary Data on the Deliberate Self-Harlm Inventory. Journal of Psychopathology and Behavioral Assessment, 23(4), 253-263. https://doi.org/10.1023/A:1012779403943
  10. Folland, Gerald B. Real Analysis: Modern Techniques and Their Applications. John Wiley & Sons, Inc.
  11. http://www.selfinjury.com/resources faq.html S.A.F.E. Alternatives
  12. LLOYD-RICHARDSON, E., PERRINE, N., DIERKER, L. & KELLEY, M. (2007) Characteristics and functions of non-suicidal self-injury in a community sample of adolescents. Psychological Medicine, 37, 1183-1192 https://doi.org/10.1017/S003329170700027X
  13. Matthews, P.C. (1968). Epidemic self-injury in an adolescent unit. Int J Soc Psychiatry, 14, 125-133 https://doi.org/10.1177/002076406801400206
  14. Rosen P. M. ,Walsh B.W. (1989). Patterns of contagion in self mutilation epidemics. Am J Psychiatry, 146(5), 656-658 https://doi.org/10.1176/ajp.146.5.656
  15. Ross, S. and Heath, N. L. (2003). Two Models of Adolescent Self-Mutilation. Suicide & Life-Threatenig Behavior, 33(3), 277-287 https://doi.org/10.1521/suli.33.3.277.23218
  16. Ross, S. and Heath, R. (2002). A Study of the Frequency of Self-Mutilation in a Community Sample of Adolescents. Journal of Youth and Adolescence, 31(1), 67-77 https://doi.org/10.1023/A:1014089117419
  17. Taiminen TJ, Kallio-Soukainen K, Nokso-Kovisto H, Kaljonen A, & Helenius H. (1998). Contagion of deleberate self-harm among adolescent inpatients. J Am Acd Child Adolesc Psychiatry, 37(2), 211-217 https://doi.org/10.1097/00004583-199802000-00014
  18. Tanner, Lindsey, AP Medical Writer, Associated Press in Chicago, June 5, 2006
  19. Walsh, B. W. (2005). Treating Self-Injury: A Practical Guide. New York, NY: Guilford Press
  20. Whitlock, J. L., Powers, J. L. & Eckenrode, J. (2006). The Virtual Cutting Edge: The Internet and Adolescent Self-Injury. Developmental Psychology, 42(3), 407-417 https://doi.org/10.1037/0012-1649.42.3.407
  21. Whitlock, J., Eckenrode, J., & Silverman D. (2006). Self-Injurious Behaviors in a College Population. Pediatrics, 117(6), 1939-1948 https://doi.org/10.1542/peds.2005-2543
  22. White, V., Trepal-Wollenzier, H., & Nolan, J.M. (2002). College Students and Self-Injury: Intervention Strategies for Counselors. Journal of College Counseling, 5, 105-113 https://doi.org/10.1002/j.2161-1882.2002.tb00212.x
  23. Yates, T. M. (2004). The developmental psychopathology of self-injurious behavior: Compensatory regulation in posttraumatic adaptation. Clinical Psychology Review, 24, 35-74 https://doi.org/10.1016/j.cpr.2003.10.001

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