IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0120607.html
   My bibliography  Save this article

Parameter Identification in a Tuberculosis Model for Cameroon

Author

Listed:
  • Dany Pascal Moualeu-Ngangue
  • Susanna Röblitz
  • Rainald Ehrig
  • Peter Deuflhard

Abstract

A deterministic model of tuberculosis in Cameroon is designed and analyzed with respect to its transmission dynamics. The model includes lack of access to treatment and weak diagnosis capacity as well as both frequency- and density-dependent transmissions. It is shown that the model is mathematically well-posed and epidemiologically reasonable. Solutions are non-negative and bounded whenever the initial values are non-negative. A sensitivity analysis of model parameters is performed and the most sensitive ones are identified by means of a state-of-the-art Gauss-Newton method. In particular, parameters representing the proportion of individuals having access to medical facilities are seen to have a large impact on the dynamics of the disease. The model predicts that a gradual increase of these parameters could significantly reduce the disease burden on the population within the next 15 years.

Suggested Citation

  • Dany Pascal Moualeu-Ngangue & Susanna Röblitz & Rainald Ehrig & Peter Deuflhard, 2015. "Parameter Identification in a Tuberculosis Model for Cameroon," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-20, April.
    • Handle: RePEc:plo:pone00:0120607
    DOI: 10.1371/journal.pone.0120607
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0120607
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0120607&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0120607?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
    ---><---

    References listed on IDEAS

    as
    1. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(1), pages 193-194, February.
    2. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(2), pages 541-545, April.
    3. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(4), pages 1007-1017, August.
    4. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(6), pages 1461-1465, December.
    5. Tewa, Jean Jules & Dimi, Jean Luc & Bowong, Samuel, 2009. "Lyapunov functions for a dengue disease transmission model," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 936-941.
    6. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(5), pages 1273-1289, October.
    7. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(3), pages 819-821, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nura M. R. Ahmad & Cristina Montañola-Sales & Clara Prats & Mustapha Musa & Daniel López & Josep Casanovas-Garcia, 2018. "Analyzing Policymaking for Tuberculosis Control in Nigeria," Complexity, Hindawi, vol. 2018, pages 1-13, November.
    2. Guangbao Guo & Yue Sun & Xuejun Jiang, 2020. "A partitioned quasi-likelihood for distributed statistical inference," Computational Statistics, Springer, vol. 35(4), pages 1577-1596, December.
    3. Munir, Mohammad & Kausar, Nasreen & Shakil, Mohammad, 2021. "Parameter identification for multiperiodic functions," Technological Forecasting and Social Change, Elsevier, vol. 173(C).

    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. Cambier, Adrien & Chardy, Matthieu & Figueiredo, Rosa & Ouorou, Adam & Poss, Michael, 2022. "Optimizing subscriber migrations for a telecommunication operator in uncertain context," European Journal of Operational Research, Elsevier, vol. 298(1), pages 308-321.
    2. Libura, Marek, 2007. "On the adjustment problem for linear programs," European Journal of Operational Research, Elsevier, vol. 183(1), pages 125-134, November.
    3. Christophe Loussouarn & Carine Franc & Yann Videau & Julien Mousquès, 2021. "Can General Practitioners Be More Productive? The Impact of Teamwork and Cooperation with Nurses on GP Activities," Health Economics, John Wiley & Sons, Ltd., vol. 30(3), pages 680-698, March.
    4. Tschakert, Petra, 2016. "Shifting Discourses of Vilification and the Taming of Unruly Mining Landscapes in Ghana," World Development, Elsevier, vol. 86(C), pages 123-132.
    5. Isabelle Boutron & Peter John & David J. Torgerson, 2010. "Reporting Methodological Items in Randomized Experiments in Political Science," The ANNALS of the American Academy of Political and Social Science, , vol. 628(1), pages 112-131, March.
    6. Ben Slimane, Faten & Padilla Angulo, Laura, 2019. "Strategic change and corporate governance: Evidence from the stock exchange industry," Journal of Business Research, Elsevier, vol. 103(C), pages 206-218.
    7. Weijun Xie & Yanfeng Ouyang & Sze Chun Wong, 2016. "Reliable Location-Routing Design Under Probabilistic Facility Disruptions," Transportation Science, INFORMS, vol. 50(3), pages 1128-1138, August.
    8. Natalia Nikolaevna Natocheeva* & Yuri Alexandrovich Rovensky & Yuri Yuryevich Rusanov & Tatiana Viktorovna Belyanchikova & Anna Anatolevna Staurskaya, 2018. "Optimizing Variability of Approaches to Regulatory Financing of Higher Education Services," The Journal of Social Sciences Research, Academic Research Publishing Group, pages 221-227:3.
    9. Sahar Validi & Arijit Bhattacharya & P. J. Byrne, 2020. "Sustainable distribution system design: a two-phase DoE-guided meta-heuristic solution approach for a three-echelon bi-objective AHP-integrated location-routing model," Annals of Operations Research, Springer, vol. 290(1), pages 191-222, July.
    10. Andy Hall, 2005. "Capacity development for agricultural biotechnology in developing countries: an innovation systems view of what it is and how to develop it," Journal of International Development, John Wiley & Sons, Ltd., vol. 17(5), pages 611-630.
    11. Athinoula A. Kosti & Simon Colreavy-Donnelly & Fabio Caraffini & Zacharias A. Anastassi, 2020. "Efficient Computation of the Nonlinear Schrödinger Equation with Time-Dependent Coefficients," Mathematics, MDPI, vol. 8(3), pages 1-12, March.
    12. Bruno Frey, 2005. "Problems with Publishing: Existing State and Solutions," European Journal of Law and Economics, Springer, vol. 19(2), pages 173-190, April.
    13. Lan, Heng-you, 2021. "Approximation-solvability of population biology systems based on p-Laplacian elliptic inequalities with demicontinuous strongly pseudo-contractive operators," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    14. Shelly Jeffcott & Nick Pidgeon & Andrew Weyman & John Walls, 2006. "Risk, Trust, and Safety Culture in U.K. Train Operating Companies," Risk Analysis, John Wiley & Sons, vol. 26(5), pages 1105-1121, October.
    15. Rainer Niemann, 2004. "Asymmetric Taxation and Cross-Border Investment Decisions," CESifo Working Paper Series 1219, CESifo.
    16. Zhenghua Gu & Xiaomeng Cao & Guoliang Liu & Weizhen Lu, 2014. "Optimizing Operation Rules of Sluices in River Networks Based on Knowledge-driven and Data-driven Mechanism," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(11), pages 3455-3469, September.
    17. Ian N. Gregory & Paul S. Ell, 2005. "Breaking the boundaries: geographical approaches to integrating 200 years of the census," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 168(2), pages 419-437, March.
    18. Alexis Comber & Paul Harris, 2018. "Geographically weighted elastic net logistic regression," Journal of Geographical Systems, Springer, vol. 20(4), pages 317-341, October.
    19. Fuamenya A. Francis, 2018. "Impact of Management Practices in Industries in the Industrial ¨C Free ¨C Trade Zones in Douala, Littoral Region of Cameroon: ¡°Challenges and Prospects¡±," Business and Management Research, Business and Management Research, Sciedu Press, vol. 7(3), pages 10-26, September.
    20. K. Padmanathan & N. Kamalakannan & P. Sanjeevikumar & F. Blaabjerg & J. B. Holm-Nielsen & G. Uma & R. Arul & R. Rajesh & A. Srinivasan & J. Baskaran, 2019. "Conceptual Framework of Antecedents to Trends on Permanent Magnet Synchronous Generators for Wind Energy Conversion Systems," Energies, MDPI, vol. 12(13), pages 1-39, July.

    More about this item

    Statistics

    Access and download statistics

    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:plo:pone00:0120607. 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.