IDEAS home Printed from https://ideas.repec.org/a/gam/jijerp/v19y2022i4p2017-d746903.html
   My bibliography  Save this article

A Scoping Review of Drug Epidemic Models

Author

Listed:
  • Wei Wang

    (Institute of Environmental Information, Chinese Research Academy of Environmental Sciences, Beijing 100012, China
    These authors contributed equally to this work.)

  • Sifen Lu

    (Precision Medicine Key Laboratory of Sichuan Province and Precision Medicine Center, West China Hospital, Sichuan University, Chengdu 610041, China
    These authors contributed equally to this work.)

  • Haoxiang Tang

    (Department of Biomedical Engineering, College of Engineering, Peking University, Beijing 100871, China
    These authors contributed equally to this work.)

  • Biao Wang

    (Institute of Environmental Information, Chinese Research Academy of Environmental Sciences, Beijing 100012, China)

  • Caiping Sun

    (Institute of Environmental Information, Chinese Research Academy of Environmental Sciences, Beijing 100012, China)

  • Pai Zheng

    (Department of Occupational and Environmental Health Science, School of Public Health, Peking University, Beijing 100871, China)

  • Yi Bai

    (Department of Epidemiology and Biostatistics, School of Public Health, Peking University, Beijing 100871, China)

  • Zuhong Lu

    (State Key Lab of Bioelectronics, National Demonstration Center for Experimental Biomedical Engineering Education, School of Biological Science and Medical Engineering, Southeast University, Nanjing 210096, China)

  • Yulin Kang

    (Institute of Environmental Information, Chinese Research Academy of Environmental Sciences, Beijing 100012, China)

Abstract

The phenomenon of drug epidemics has been a global issue in the past decades, causing enormous damages to the physical and mental health of drug users and social well-being. Despite great efforts to curb drug epidemics at the governmental or social level, the total number of drug users has still been on the rise in recent years, along with illicit production and trafficking around the world. Inspired by dynamical epidemic models of infectious disease, a flourishment of promising results has been observed in the exploration of drug epidemic models. In this review, we aim to provide a scoping review of all existing drug epidemic modeling studies, and it has been shown that most studies focused on analyses of theoretical behaviors of the model systems, lacking emphasis on practical applications in real settings. We found that the drug epidemic models were characterized by a longer time scale, no incubation period, no significant prevention vaccines interfered, and population specificity. This review could assist policymakers and public health workers in gaining deeper insights into modeling tools, and help modelers improve their works, thus narrowing gaps between mathematical epidemiology and public health studies.

Suggested Citation

  • Wei Wang & Sifen Lu & Haoxiang Tang & Biao Wang & Caiping Sun & Pai Zheng & Yi Bai & Zuhong Lu & Yulin Kang, 2022. "A Scoping Review of Drug Epidemic Models," IJERPH, MDPI, vol. 19(4), pages 1-18, February.
  • Handle: RePEc:gam:jijerp:v:19:y:2022:i:4:p:2017-:d:746903
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1660-4601/19/4/2017/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1660-4601/19/4/2017/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Wang, Jinliang & Wang, Jing & Kuniya, Toshikazu, 2019. "Analysis of an age-structured multi-group heroin epidemic model," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 78-100.
    2. Wei, Yongchang & Yang, Qigui & Li, Guangjie, 2019. "Dynamics of the stochastically perturbed Heroin epidemic model under non-degenerate noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    3. Rossi, Carla, 2004. "Operational models for epidemics of problematic drug use: the Mover-Stayer approach to heterogeneity," Socio-Economic Planning Sciences, Elsevier, vol. 38(1), pages 73-90, March.
    4. Greene, M.H., 1974. "An epidemiologic assessment on heroin use," American Journal of Public Health, American Public Health Association, vol. 64(S1), pages 1-10.
    5. Jonathan Caulkins & Paul Dietze & Alison Ritter, 2007. "Dynamic compartmental model of trends in Australian drug use," Health Care Management Science, Springer, vol. 10(2), pages 151-162, June.
    6. Fang, Bin & Li, Xue-Zhi & Martcheva, Maia & Cai, Li-Ming, 2015. "Global asymptotic properties of a heroin epidemic model with treat-age," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 315-331.
    7. Lihong Wang & Fanghong Zhang & Cuncheng Jin, 2017. "Analysis of an Eco-Epidemiological Model with Disease in the Prey and Predator," International Journal of Mathematical Research, Conscientia Beam, vol. 6(1), pages 22-28.
    8. repec:pkp:ijomre:2017:p:22-28 is not listed on IDEAS
    9. Caulkins, Jonathan P. & Feichtinger, Gustav & Tragler, Gernot & Wallner, Dagmar, 2010. "When in a drug epidemic should the policy objective switch from use reduction to harm reduction?," European Journal of Operational Research, Elsevier, vol. 201(1), pages 308-318, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Haoxiang Tang & Mingtao Li & Xiangyu Yan & Zuhong Lu & Zhongwei Jia, 2021. "Modeling the Dynamics of Drug Spreading in China," IJERPH, MDPI, vol. 18(1), pages 1-25, January.
    2. Zizhen Zhang & Fangfang Yang & Wanjun Xia, 2019. "Hopf Bifurcation Analysis of a Synthetic Drug Transmission Model with Time Delays," Complexity, Hindawi, vol. 2019, pages 1-17, November.
    3. Li, Xuhui & Agarwal, Ravi P. & Gómez-Aguilar, J.F. & Badshah, Qaisar & Rahman, Ghaus ur, 2022. "Threshold dynamics: Formulation, stability & sensitivity analysis of co-abuse model of heroin and smoking," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    4. Chen, Yi & Wang, Lianwen & Zhang, Jinhui, 2024. "Global asymptotic stability of an age-structured tuberculosis model: An analytical method to determine kernel coefficients in Lyapunov functional," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    5. Jennifer Gillespie & Sally McClean & Bryan Scotney & Lalit Garg & Maria Barton & Ken Fullerton, 2011. "Costing hospital resources for stroke patients using phase-type models," Health Care Management Science, Springer, vol. 14(3), pages 279-291, September.
    6. Zara, M.C. & Monteiro, L.H.A., 2021. "The negative impact of technological advancements on mental health: An epidemiological approach," Applied Mathematics and Computation, Elsevier, vol. 396(C).
    7. Miléna Spach & Antoine Pietri, 2018. "Is Heavy Drinking Always Profitable For Alcohol Industry? An Epidemic Framework For Alcohol Consumption [Le binge drinking est-il toujours profitable à l’industrie alcoolière ? Un modèle épidémique," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-02867917, HAL.
    8. Massin, Sophie, 2012. "Is harm reduction profitable? An analytical framework for corporate social responsibility based on an epidemic model of addictive consumption," Social Science & Medicine, Elsevier, vol. 74(12), pages 1856-1863.
    9. Caulkins, Jonathan P. & Feichtinger, Gustav & Tragler, Gernot & Wallner, Dagmar, 2010. "When in a drug epidemic should the policy objective switch from use reduction to harm reduction?," European Journal of Operational Research, Elsevier, vol. 201(1), pages 308-318, February.
    10. Miléna Spach & Antoine Pietri, 2018. "Is Heavy Drinking Always Profitable For Alcohol Industry? An Epidemic Framework For Alcohol Consumption [Le binge drinking est-il toujours profitable à l’industrie alcoolière ? Un modèle épidémique," Post-Print hal-02867917, HAL.
    11. Hu, Dandan & Huang, Gang, 2022. "Dynamical analysis on a size-structured population model of Daphnia with delayed birth process," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    12. Yin, Qian & Wang, Zhishuang & Xia, Chengyi & Dehmer, Matthias & Emmert-Streib, Frank & Jin, Zhen, 2020. "A novel epidemic model considering demographics and intercity commuting on complex dynamical networks," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    13. Caulkins, Jonathan P. & Feichtinger, Gustav & Grass, Dieter & Hartl, Richard F. & Kort, Peter M. & Novak, Andreas J. & Seidl, Andrea, 2013. "Leading bureaucracies to the tipping point: An alternative model of multiple stable equilibrium levels of corruption," European Journal of Operational Research, Elsevier, vol. 225(3), pages 541-546.
    14. Luo, Yantao & Zhang, Long & Teng, Zhidong & Zheng, Tingting, 2021. "Analysis of a general multi-group reaction–diffusion epidemic model with nonlinear incidence and temporary acquired immunity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 428-455.
    15. Sharma, Anupama, 2020. "Quantifying the effect of demographic stochasticity on the smoking epidemic in the presence of economic stimulus," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    16. Wang, Zhixiao & Rui, Xiaobin & Yuan, Guan & Cui, Jingjing & Hadzibeganovic, Tarik, 2021. "Endemic information-contagion outbreaks in complex networks with potential spreaders based recurrent-state transmission dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).
    17. Nyabadza, F. & Mukwembi, S. & Rodrigues, B.G., 2011. "A graph theoretical perspective of a drug abuse epidemic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(10), pages 1723-1732.
    18. Choudhury, Nishat Alam & Ramkumar, M. & Schoenherr, Tobias & Singh, Shalabh, 2023. "The role of operations and supply chain management during epidemics and pandemics: Potential and future research opportunities," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 175(C).
    19. Wang, Jinliang & Wang, Jing & Kuniya, Toshikazu, 2019. "Analysis of an age-structured multi-group heroin epidemic model," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 78-100.
    20. Hu Zhang & Anwar Zeb & Aying Wan & Zizhen Zhang, 2022. "Bifurcation Analysis of a Synthetic Drug Transmission Model with Two Time Delays," Mathematics, MDPI, vol. 10(9), pages 1-21, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jijerp:v:19:y:2022:i:4:p:2017-:d:746903. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.