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http://dx.doi.org/10.12941/jksiam.2010.14.4.275

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)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.14, no.4, 2010 , pp. 275-284 More about this Journal
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.
Keywords
Epidemiological model; Deliberate self-harm; SI; Sensitivity analysis; Basic reproduction number;
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