Optimal Control of Drug Epidemics: Prevent and Treat—But Not at the Same Time?

References

  • Anderson R. M., May R. M.Infectious Diseases of Humans (1991) (Oxford University Press, Oxford, England) Google Scholar
  • Bass F. M. A new product growth model for consumer durables. Management Sci. (1969) 15(5):215–227LinkGoogle Scholar
  • Behrens D. A.The US cocaine epidemic: An optimal control approach to heterogeneous consumption behavior (1998) . Ph.D. Thesis, Vienna University of Technology, Vienna, AustriaGoogle Scholar
  • Behrens D. A., Caulkins J. P., Tragler G., Feichtinger G.Controlling the US cocaine epidemic: Prevention from light vs. treatment of heavy use (1997) . Working Paper 214, Vienna University of Technology, Vienna, AustriaGoogle Scholar
  • Behrens D. A., Caulkins J. P., Tragler G., Haunschmied J. L., Feichtinger G. A dynamic model of drug initiation: Implications for treatment and drug control. Math. Biosci. (1999) 159:1–20CrossrefGoogle Scholar
  • Botvin G. J., Tonry M., Wilson J. Q. Substance abuse prevention: Theory, practice, and effectiveness. Crime and Justice: Drugs and Crime, Vol. 13 (1990) (The University of Chicago Press, Chicago, IL) 461–519Google Scholar
  • Caulkins J. P., Reuter P. Setting goals for drug policy: Harm reduction or use reduction. Addiction (1997) 92:1143–1150CrossrefGoogle Scholar
  • Caulkins J. P., Rydell C. P., Everingham S. S., Chiesa J., Bushway S.The cost-effectiveness of school-based drug prevention programs: An ounce of prevention, a pound of uncertainty (1999) (RAND, Santa Monica, CA) . MR-923-RWJCrossrefGoogle Scholar
  • Dockner E., Feichtinger G. Local stability analysis in optimal control problems with two state variables. Optimal Control Theory and Economic Analysis 2 (1985) (North-Holland, Amsterdam)Google Scholar
  • Everingham S. S., Rydell C. P.Modeling the Demand for Cocaine (1994) (RAND, Santa Monica, CA) Google Scholar
  • Everingham S. S., Rydell C. P., Caulkins J. P. Cocaine consumption in the US: Estimating past trends and future scenarios. Socio-Econom. Planning Sci. (1995) 29:305–314CrossrefGoogle Scholar
  • Feichtinger G., Hartl R.Optimale Kontrolle Ökonomischer Prozesse—Anwendungen des Maximumprinzips in den Wirtschaftswissenschaften (1986) (deGruyter, Berlin, Germany) CrossrefGoogle Scholar
  • Feichtinger G., Hartl R., Sethi S. P. Dynamic optimal control models in advertising: Recent developments. Management Sci. (1994) 40(2):195–226LinkGoogle Scholar
  • Gardiner L. Keith, Shreckengost Raymond C. A system dynamics model for estimating heroin imports into the United States. System Dynamics Rev. (1987) 3(1):8–27CrossrefGoogle Scholar
  • Guckenheimer J., Holmes P.Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields (1983) (Springer, New York) CrossrefGoogle Scholar
  • Homer Jack B. A system dynamics model for cocaine prevalence estimation and trend projection. J. Drug Issues (1993a) 23(2):251–279CrossrefGoogle Scholar
  • Kleiman Mark A. R. Reducing the prevalence of cocaine and heroin dealing among adolescents. Valparaiso Univ. Law Rev. (1997) 31:551–564Google Scholar
  • Léonard D. The signs of the costate variables and sufficiency conditions in a class of optimal control problems. Econom. Letters (1981) 8:321–325CrossrefGoogle Scholar
  • Léonard D., Long N. V.Optimal Control Theory and Static Optimization in Economics (1992) (CUP, Cambridge, England) CrossrefGoogle Scholar
  • Levin Gilbert, Roberts Edward B., Hirsch Gary B.The Persistent Poppy: A Computer-Aided Search for Heroin Policy (1975) (Ballinger Publishing Company, Cambridge, MA) Google Scholar
  • Lilien G. L., Kotler P.Marketing Decision Making: A Model-Building Approach (1983) (Harper & Row, New York) Google Scholar
  • Musto D. F.The American Disease (1987) (Yale University Press, New Haven, CT) Google Scholar
  • Office of National Drug Control PolicyThe National Drug Control Strategy (1994, 1996, 1998, 1999) (The White House, Washington, D.C.) Google Scholar
  • Rice D. P., Kelman S., Miller L. S., Dunmeyer S.The Economic Costs of Alcohol and Drug Abuse and Metal Illness (1990) (Institute for Health and Aging, University of California, San Francisco, CA) . 1985Google Scholar
  • Rydell C. P., Caulkins J. P., Everingham S. S. Enforcement or treatment? Modeling the relative efficacy of alternatives for controlling cocaine. Oper. Res. (1996) 44:1–9LinkGoogle Scholar
  • Rydell C. P., Everingham S. S. Controlling Cocaine. Supply Versus Demand Programs (1994) (RAND, Santa Monica, CA) CrossrefGoogle Scholar
  • Schlenger William E. A systems approach to drug user services. Behavioral Sci. (1973) 18(2):137–147CrossrefGoogle Scholar
  • Stares P. B.Global Habit: The Drug Problem in a Borderless World (1996) (Brookings Institute, Washington DC) Google Scholar
  • Tragler G., Caulkins J. P., Feichtinger G. Optimal dynamic allocation of treatment and enforcement in illicit drug control. Oper. Res.ForthcomingGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.