Heroin epidemics, treatment and ODE modelling

Mathematical Biosciences

Volumn 208, Issue 1, 2007, Pages 312-324

  White, Emma ^a   Comiskey, Catherine ^a  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Drug using career; Heroin use; Mathematical epidemiology; ODE models; Reproduction ratio R0; Treatment

Indexed keywords

COMPUTER SIMULATION; DRUG THERAPY; GROWTH KINETICS; HEALTH CARE; MATHEMATICAL MODELS; MEDICAL PROBLEMS;

DRUG-USING CAREER; HEROIN USE; MATHEMATICAL EPIDEMIOLOGY; REPRODUCTION RATIO;

EPIDEMIOLOGY;

DIAMORPHINE;

DISEASE TREATMENT; DRUG; DRUG USER; EPIDEMIC; MODELING; SENSITIVITY ANALYSIS;

ARTICLE; CAREER; DRUG DEPENDENCE; ENDEMIC DISEASE; HARM REDUCTION; HEROIN DEPENDENCE; MATHEMATICAL MODEL; NONHUMAN; PATIENT MONITORING; PREVALENCE; SENSITIVITY ANALYSIS;

ADOLESCENT; ADULT; ALGORITHMS; DISEASE OUTBREAKS; HEROIN DEPENDENCE; HUMANS; IRELAND; MIDDLE AGED; MODELS, BIOLOGICAL; OPIOID-RELATED DISORDERS; POPULATION DENSITY; PROBABILITY;

EURASIA; EUROPE;

EID: 34249300962     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2006.10.008     Document Type: Article

References (21)

1. United Nations Office on Drugs and Crime (UNODC): World Drug Report, 2005, vol. 1: Analysis. UNODC, 2005.
2. European Monitoring Centre for Drugs and Drug Addiction (EMCDDA): Annual Report, 2005. http://annualreport.emcdda.eu.int/en/home-en.html.
3. World Health Organisation (WHO): Biregional Strategy for Harm Reduction, 2005-2009. HIV and Injecting Drug Use. WHO, 2005.
4. Comiskey C. National prevalence of problematic opiate use in Ireland. EMCDDA Tech. Report (1999)
5. A. Kelly, M. Carvalho, C. Teljeur: Prevalence of Opiate Use in Ireland 2000-2001. A 3-Source Capture Recapture Study. A Report to the National Advisory Committee on Drugs, Sub-committee on Prevalence. Small Area Health Research Unit, Department of Public.
6. O'Brien M., and Moran R. Overview of Drug Issues in Ireland 1997. Drugs Research Division, Health Research Board (1997)
7. Corrigan D. The identification of drugs of abuse in the Republic of Ireland during the years 1968-1978. Bull. Narcotics 31 2 (1979) 57
8. G. Dean, A. O'Hare, G. Kelly, A. O'Connor, M. Kelly: The Opiate Epidemic in Dublin 1979-1983. The Medico Social Research Board, 73 Lower Baggot Street, Dublin 2, 1983.
9. J. Long et al., Trends in Treated Problem Drug Use in Ireland, 1998 to 2002, Occasional Paper No. 17/2005. DMRD, HRB, 2005.
10. C. Comiskey, G. Cox: Research Outcome Study in Ireland (ROSIE): Evaluating Drug Treatment Effectiveness, Baseline Findings. www.nuim.ie/ROSIE/ResearchHistory.shtml, March 2005.
11. Bailey N. The Mathematical Theory of Infectious Diseases (1975), Charles Griffin
12. Anderson R.M., and May R.M. Infectious Diseases of Humans, Dynamics and Control (1991), Oxford University Press
13. Murray J.D. Mathematical Biology I and II (2004), Springer
14. Brauer F., and Castillo-Chavez C. Mathematical Models in Population Biology and Epidemiology (2000), Springer
15. van den Driessche P., and Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 180 (2002) 29
16. Diekmann O., and Heesterbeek J.A.P. Mathematical Epidemiology of Infectious Diseases (2000), John Wiley & Son, Ltd
17. European Monitoring Centre for Drugs and Drug Addiction (EMCDDA): Population Surveys Methodology. Methods and definitions, general population surveys, detailed notes. EMCDDA Statistical Bulletin, 2004.
18. L. Arriola, J. Hyman, Lecture notes, forward and adjoint sensitivity analysis: with applications in Dynamical Systems, Linear Algebra and Optimisation Mathematical and Theoretical Biology Institute, Summer, 2005.
19. Castillo-Chavez C., and Song B. Dynamical models of tuberculosis and their applications. Math. Biosci. Eng. 1 2 (2004)
20. B. Song, Seminar Notes, Backward or Forward at R0 = 1, Mathematical and Theoretical Biology Institute, Summer, 2005.
21. F.E. Su et al., "Descartes' Rule of Signs" Mudd Math Fun Facts. http://www.math.hmc.edu/funfacts.