IDEAS home Printed from https://ideas.repec.org/a/spr/qualqt/v52y2018i1d10.1007_s11135-017-0648-7.html
   My bibliography  Save this article

Dynamics of HIV/AIDS in Turkey from 1985 to 2016

Author

Listed:
  • Murat Sayan

    (Kocaeli University)

  • Evren Hınçal

    (Near East University)

  • Tamer Şanlıdağ

    (Celal Bayar University
    Near East University)

  • Bilgen Kaymakamzade

    (Near East University)

  • Farouk Tijjani Sa’ad

    (Near East University)

  • Isa Abdullahi Baba

    (Near East University)

Abstract

In this paper, we formulated a mathematical model that studies the dynamics of HIV/AIDS in Turkey from 1985 to 2016. We find two equilibrium points, disease free equilibrium and endemic equilibrium. Global stability analysis of the equilibria was conducted using Lyapunov function which depends on the basic reproduction ratio R 0. If R 0

Suggested Citation

  • Murat Sayan & Evren Hınçal & Tamer Şanlıdağ & Bilgen Kaymakamzade & Farouk Tijjani Sa’ad & Isa Abdullahi Baba, 2018. "Dynamics of HIV/AIDS in Turkey from 1985 to 2016," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(1), pages 711-723, December.
  • Handle: RePEc:spr:qualqt:v:52:y:2018:i:1:d:10.1007_s11135-017-0648-7
    DOI: 10.1007/s11135-017-0648-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11135-017-0648-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s11135-017-0648-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Christina E. Mills & James M. Robins & Marc Lipsitch, 2004. "Transmissibility of 1918 pandemic influenza," Nature, Nature, vol. 432(7019), pages 904-906, December.
    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. Aditya Goenka & Lin Liu, 2012. "Infectious diseases and endogenous fluctuations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(1), pages 125-149, May.
    2. Christoph Zimmer & Reza Yaesoubi & Ted Cohen, 2017. "A Likelihood Approach for Real-Time Calibration of Stochastic Compartmental Epidemic Models," PLOS Computational Biology, Public Library of Science, vol. 13(1), pages 1-21, January.
    3. Victor W. Chu & Raymond K. Wong & Chi-Hung Chi & Wei Zhou & Ivan Ho, 2017. "The design of a cloud-based tracker platform based on system-of-systems service architecture," Information Systems Frontiers, Springer, vol. 19(6), pages 1283-1299, December.
    4. Pedro, S.A. & Rwezaura, H. & Mandipezar, A. & Tchuenche, J.M., 2021. "Qualitative Analysis of an influenza model with biomedical interventions," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    5. Böhm, Robert & Betsch, Cornelia & Korn, Lars, 2016. "Selfish-rational non-vaccination: Experimental evidence from an interactive vaccination game," Journal of Economic Behavior & Organization, Elsevier, vol. 131(PB), pages 183-195.
    6. Qin, Wenjie & Tang, Sanyi, 2014. "The selection pressures induced non-smooth infectious disease model and bifurcation analysis," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 160-171.
    7. Mohammad Arif & Soumita Sengupta, 2021. "Nexus between population density and novel coronavirus (COVID-19) pandemic in the south Indian states: A geo-statistical approach," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(7), pages 10246-10274, July.
    8. Nicole C. J. Brienen & Aura Timen & Jacco Wallinga & Jim E. Van Steenbergen & Peter F. M. Teunis, 2010. "The Effect of Mask Use on the Spread of Influenza During a Pandemic," Risk Analysis, John Wiley & Sons, vol. 30(8), pages 1210-1218, August.
    9. Brotherhood, Luiz & Kircher, Philipp & Santos, Cezar & Tertilt, Michèle, 2023. "Optimal Age-based Policies for Pandemics: An Economic Analysis of Covid-19 and Beyond," IDB Publications (Working Papers) 13295, Inter-American Development Bank.
    10. Lawrence M. Wein & Michael P. Atkinson, 2009. "Assessing Infection Control Measures for Pandemic Influenza," Risk Analysis, John Wiley & Sons, vol. 29(7), pages 949-962, July.
    11. Savachkin, Alex & Uribe, Andrés, 2012. "Dynamic redistribution of mitigation resources during influenza pandemics," Socio-Economic Planning Sciences, Elsevier, vol. 46(1), pages 33-45.
    12. Richard Franke, 2022. "Poverty, pollution, and mortality: The 1918 influenza pandemic in a developing German economy," Economic History Review, Economic History Society, vol. 75(4), pages 1026-1053, November.
    13. Amy L Greer & Dena Schanzer, 2013. "Using a Dynamic Model to Consider Optimal Antiviral Stockpile Size in the Face of Pandemic Influenza Uncertainty," PLOS ONE, Public Library of Science, vol. 8(6), pages 1-9, June.
    14. Patrick Saunders-Hastings & Bryson Quinn Hayes & Robert Smith? & Daniel Krewski, 2017. "Modelling community-control strategies to protect hospital resources during an influenza pandemic in Ottawa, Canada," PLOS ONE, Public Library of Science, vol. 12(6), pages 1-26, June.
    15. Marcel Salathé & James H Jones, 2010. "Dynamics and Control of Diseases in Networks with Community Structure," PLOS Computational Biology, Public Library of Science, vol. 6(4), pages 1-11, April.
    16. Kumar, Anuj & Srivastava, Prashant K. & Dong, Yueping & Takeuchi, Yasuhiro, 2020. "Optimal control of infectious disease: Information-induced vaccination and limited treatment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    17. Arenas, Abbiana R. & Thackar, Neil B. & Haskell, Evan C., 2017. "The logistic growth model as an approximating model for viral load measurements of influenza A virus," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 133(C), pages 206-222.
    18. Ali Ekici & Pınar Keskinocak & Julie L. Swann, 2014. "Modeling Influenza Pandemic and Planning Food Distribution," Manufacturing & Service Operations Management, INFORMS, vol. 16(1), pages 11-27, February.
    19. Hanmin Dong & Xiujie Tan & Si Cheng & Yishuang Liu, 2023. "COVID-19, recovery policies and the resilience of EU ETS," Economic Change and Restructuring, Springer, vol. 56(5), pages 2965-2991, October.
    20. Nikta Bahman Bijari & Mohammad Hadi Mahdinia & Mohammad Reza Mansouri Daneshvar, 2021. "Investigation of the urbanization contribution to the COVID-19 outbreak in Iran and the MECA countries," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(12), pages 17964-17985, December.

    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:spr:qualqt:v:52:y:2018:i:1:d:10.1007_s11135-017-0648-7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.