References
- C.P. Bhunu, S. Mushayabasa, H. Kojouharov, and J.M. Tchuenche, Mathematical analysis of an HIV/AIDS model: impact of educational programs and abstinence in Sub-Saharan Africa, J. Math. Model. Algorithms 10(1) (2010), pp. 31–55. doi: 10.1007/s10852-010-9134-0
- W.M. Cox and E. Klinger, A motivational model of alcohol use, J. Abnormal Psychol. 97(2) (1988), pp. 168–180. doi: 10.1037/0021-843X.97.2.168
- S. Del Valle, A.M. Evangelista, M.C. Velasco, C.M. Kribs-Zaleta, and S. -F. Hsu Schmitz, Effects of education, vaccination and treatment on HIV transmission in homosexuals with genetic heterogeneity, Math. Biosci. 187 (2004), pp. 111–133. doi: 10.1016/j.mbs.2003.11.004
- S. Del Valle, H. Hethcote, J.M. Hyman, and C. Castillo-Chavez, Effects of behavioral changes in a smallpox attack model, Math. Biosci. 195 (2005), pp. 228–251. doi: 10.1016/j.mbs.2005.03.006
- P. van den Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci. 180 (2002), pp. 29–48. doi: 10.1016/S0025-5564(02)00108-6
- M. Giuseppe and S. Brian, Modeling binge drinking, Int. J. Biomath. 1(5) (2012), 1250005 (14 pages).
- D.M. Gorman, J. Mezic, L. Mezic, and P.J. Gruenewald, Agent-based modeling of drinking behavior: a preliminary model and potential applications to theory and practice, Amer. Public Health Assoc. 96(11) (2006), pp. 2055–2060. doi: 10.2105/AJPH.2005.063289
- R.W. Hingston, T. Heeren, R.C. Zakocs, A. Kopstein, and H. Wechsler, Magnitude of alcohol-related mortality and morbidity among U. S. college students ages 18–24, J. Stud. Alcohol 63 (2002), pp. 136–144. doi: 10.15288/jsa.2002.63.136
- H.F. Huo and N.N. Song, Global stability for a binge drinking model with two stages, Discret. Dyn. Nature Soc. 2012 Article ID 829386, 15 pages.
- K.M. Jackson, K.J. Sher, and A. Park, Drinking among college students – consumption and consequences, in Recent Developments in Alcoholism: Research on Alcohol Problems in Adolescents and Young Adults, Vol. 17, M. Galanter, ed., Kluwer Academic/Plenum Publishers, New York, 2005, pp. 85–171.
- J.P. LaSalle, The Stability of Dynamical Systems, Regional Conference Series in Applied Mathematics, SIAM, Philadelphia, PA, 1976.
- S. Lee, E. Jung, and C. Castillo-Chavez, Optimal control intervention strategies in low- and high-risk problem drinking populations, Socio-Econ. Plan. Sci. 44 (2010), pp. 258–265. doi: 10.1016/j.seps.2010.07.006
- A. Mubayi, P.E. Greenwood, C. Castillo-Chavez, P.J. Gruenewald, and D.M. Gorman, The impact of relative residence times on the distribution of heavy drinkers in highly distinct environments, Socio-Econ. Plan. Sci. 44(1) (2010), pp. 45–56. doi: 10.1016/j.seps.2009.02.002
- Z. Mukandavire and W. Garira, Effects of public health educational campaigns and the role of sex workers on the spread of HIV/AIDS among heterosexuals, Theoret. Popul. Biol. 72 (2007), pp. 346–365. doi: 10.1016/j.tpb.2007.07.002
- Z. Mukandavire, W. Garira, and J.M. Tchuenche, Modelling effects of public health educational campaigns on HIV/AIDS transmission dynamics, Appl. Math. Model. 33 (2009), pp. 2084–2095. doi: 10.1016/j.apm.2008.05.017
- H. Wechsler, et al., Health and behavioral consequences of binge drinking in college, J. Amer. College Health 272 (1994), pp. 1672–1677.
- H. Wechsler, J.E. Lee, T.F. Nelson, and M.C. Kuo, Underage college students drinking behavior, access to alcohol, and the influence of deterrence policies, J. Amer. College Health 50(5) (2002), pp. 223–236. doi: 10.1080/07448480209595714
- H. Xiang, C.C. Zhu, and H.F. Huo, Stability of a quit drinking model with relapse, J. Biomath. in press.