addiction-therapy-2016_keynote

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Volume 7, Issue 5(Suppl) J Addict Res Ther
ISSN:2155-6105 JART, an open access journal
Page 69
Addiction Therapy 2016
October 03-05, 2016
conferenceseries.com
October 03-05, 2016 Atlanta, USA
5th International Conference and Exhibition on
Addiction Research & Therapy
Young Lee, J Addict Res Ther 2016, 7:5(Suppl)
A mathematical modeling approach to the dynamics of gambling
We take a mathematical modeling approach to the gambling epidemiology. Two deterministic models with ordinary
differential equations are created to study the dynamics of gambling: one is for older adults aged 65-80 with four
compartments; the other population is youth ages 16-24 composed of three classes. The models seek to examine dynamics of
the system through stability analysis and a basic reproductive number. A sociological term for a basic reproductive number is
a tipping point because it provides a point at which a stable system turns to an unstable one or vise versa, which is a threshold
condition. All parameters are approximated, and numerical simulations are also explored. Analyses indicate that problem
gambling is present in an endemic state among both older adults and young adults. One of the main goals for the young
adult model is to see how prevalence rates of at-risk gambling and problem gambling change as adolescents enter into young
adulthood. The parameters to which the system is most sensitive are identified and are translated to primary prevention for
both models. Prevention and control strategies are discussed: school education on gambling addiction should be offered for
young adults; a self-exclusion program for older adults, which is used to intervene problem gamblers or pathological gamblers
by allowing them to voluntarily exclude from gambling establishments, should be extended to those who are identified as
potential excessive gamblers. Although research has been active on gambling, this is the first mathematical modeling approach
to study the dynamics of gambling.
Biography
Young Lee completed multiple advanced degrees including her Doctorate of Philosophy in mathematics at University of Wisconsin – Madison. Her research interests
are mathematical biology, scientific computation and computer system performance. She has published papers on infectious diseases and socioeconomic dynamics
such as Ebola, H. pylori, juvenile crimes, and gambling using epidemiological models and stability analysis, also on numerical analysis of finite difference schemes,
perturbations and fixed point theory in differential equations. Her models are often discussed both analytically and numerically. She has also worked on queuing
network modeling and simulation and global memory systems in a network of workstations. She has taught mathematics and computer science at Manchester
University since 1998.
Young Lee
Manchester University, USA