Why present-oriented societies undergo cycles of drug epidemics

Journal of Economic Dynamics and Control

Volumn 26, Issue 6, 2002, Pages 919-936

  Behrens, Doris A ^a,b   Caulkins, Jonathan P ^c,d   Tragler, Gernot ^a   Feichtinger, Gustav ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^b UNIVERSITY OF KLAGENFURT   (Austria)

^c CARNEGIE MELLON UNIVERSITY   (United States)

^d RAND CORPORATION   (United States)

Author keywords

Chain of drug epidemics; Hopf bifurcation; Illicit drugs; Limit cycle; Optimal control

Indexed keywords

EID: 0345153452     PISSN: 01651889     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-1889(01)00003-3     Document Type: Article

References (25)

1. Becker, G.S., Murphy, K.M., 1988. A theory of rational addiction. Journal of Political Economy 96, 675-700.
2. Behrens, D.A., 1998. The US cocaine epidemic: An optimal control approach to heterogeneous consumption behavior. Ph.D. Thesis, Vienna University of Technology.
3. Behrens, D.A., Caulkins, J.P., Tragler, G., Feichtinger, G., 2000. Optimal control of drug epidemics: Prevent and treat - but not at the same time? Management Science 46, 333-347.
4. Behrens, D.A., Caulkins, J.P., Tragler, G., Haunschmied, J.L., Feichtinger, G., 1999. A dynamical model of drug initiation: Implications for treatment and drug control. Mathematical Biosciences 159, 1-20.
5. Caulkins, J.P., Rydell, C.P., Everingham, S.S., Chiesa, J., Bushway, S., 1999. An ounce of prevention, a pound of uncertainty: The cost-effectiveness of school-based drug prevention programs. RAND, Santa Monica, MR-923-RWJ.
6. Dechert, W.D., 1983. Increasing returns to scale and the reverse flexible accelerator. Economics Letters 13, 69-75.
7. Dechert, W.D., Nishimura, K., 1983. A complete characterization of optimal growth paths in an aggregated model with a non-concave production function. Journal of Economic Theory 31, 332-354.
8. Dockner, E., Feichtinger, G., 1991. On the optimality of limit cycles in dynamic economic systems. Journal of Economics 53, 31-50.
9. Dockner, E., Feichtinger, G., 1993. Cyclical consumption patterns and rational addiction. American Economic Review 83, 256-263.
10. Everingham, S.S., Rydell, C.P., 1994. Modeling the demand for cocaine. RAND, Santa Monica, MR-332-ONDCP/A/DPRC.
11. Everingham, S.S., Rydell, C.P., Caulkins, J.P., 1995. Cocaine consumption in the US: Estimating past trends and future scenarios. Socio-Economic Planning Sciences 29 (4), 305-314.
12. Feichtinger, G., Hartl, R.F., 1986. Optimale Kontrolle Ö konomischer Prozesse-Anwendungen des Maximumprinzips in den Wirtschaftswissenschaften, deGruyter, Berlin.
13. Feichtinger, G., Novak, A., Wirl, F., 1994. Limit cycles in intertemporal adjustment models. Journal of Economic Dynamics and Control 18, 353-380.
14. Léonard, D., 1981. The signs of the costate variables and sufficiency conditions in a class of optimal control problems. Economic Letters 8, 321-325.
15. Léonard, D., Long, N.V., 1992. Optimal control theory and static optimization in economics. Cambridge University Press, Cambridge.
16. Michel, P., 1982. On the transversality condition in in"nite horizon optimal control problems. Econometrica 50, 975-985.
17. Musto, D.F., 1987. The American disease. Yale University Press, New Haven.
18. National Institute on Drug Abuse, 1991. Overview of the 1991 household durvey of drug abuse, Press release, December.
19. Office of National Drug Control Policy, 1999. 1999 National Drug Control Strategy. The White House, Washington DC.
20. Rice, D.P., Kelman, S., Miller, L.S., Dunmeyer, S., 1990. The economic costs of alcohol and drug abuse and mental illness: 1985 Institute for Health and Aging/University of California, San Francisco CA, USA.
21. Ryan, K.F., 1998. Clinging to failure: the rise and continued life of US drug policy. Law and Society Review 32 (1), 221-242.
22. Rydell, C.P., Caulkins, J.P., Everingham, S.S., 1996. Enforcement or treatment? Modeling the relative efficacy of alternatives for controlling cocaine. Operations Research 44 (6), 687-695.
23. Rydell, C.P., Everingham, S.S., 1994. Controlling cocaine: Supply versus demand programs. RAND, Santa Monica, MR-331-ONDCP/A/DPRC.
24. Skiba, A.K., 1978. Optimal growth with a convex-concave production function. Econometrica 46, 527-539.
25. Tragler, G., Caulkins, J.P., Feichtinger, G., 2001. Optical dynamic allocation of treatment and enforcement in illicit drug control. Operations Research, forthcoming.