IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v3y2015i4p1241-1254d60440.html
   My bibliography  Save this article

Modeling ITNs Usage: Optimal Promotion Programs Versus Pure Voluntary Adoptions

Author

Listed:
  • Bruno Buonomo

    (Department of Mathematics and Applications, University of Naples Federico II, via Cintia, I-80126 Naples, Italy)

Abstract

We consider a mosquito-borne epidemic model, where the adoption by individuals of insecticide–treated bed–nets (ITNs) is taken into account. Motivated by the well documented strong influence of behavioral factors in ITNs usage, we propose a mathematical approach based on the idea of information–dependent epidemic models. We consider the feedback produced by the actions taken by individuals as a consequence of: (i) the information available on the status of the disease in the community where they live; (ii) an optimal health-promotion campaign aimed at encouraging people to use ITNs. The effects on the epidemic dynamics of each of these feedback are assessed and compared with the output of classical models. We show that behavioral changes of individuals may sensibly affect the epidemic dynamics.

Suggested Citation

  • Bruno Buonomo, 2015. "Modeling ITNs Usage: Optimal Promotion Programs Versus Pure Voluntary Adoptions," Mathematics, MDPI, vol. 3(4), pages 1-14, December.
    • Handle: RePEc:gam:jmathe:v:3:y:2015:i:4:p:1241-1254:d:60440
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/3/4/1241/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/3/4/1241/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Dieter Grass & Jonathan P. Caulkins & Gustav Feichtinger & Gernot Tragler & Doris A. Behrens, 2008. "Optimal Control of Nonlinear Processes," Springer Books, Springer, number 978-3-540-77647-5, December.
    2. Michael McAsey & Libin Mou & Weimin Han, 2012. "Convergence of the forward-backward sweep method in optimal control," Computational Optimization and Applications, Springer, vol. 53(1), pages 207-226, September.
    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. Maria Arvaniti & Chandra K. Krishnamurthy & Anne-Sophie Crépin, 2019. "Time-consistent resource management with regime shifts," CER-ETH Economics working paper series 19/329, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    2. Wrzaczek, Stefan & Kuhn, Michael & Prskawetz, Alexia & Feichtinger, Gustav, 2010. "The reproductive value in distributed optimal control models," Theoretical Population Biology, Elsevier, vol. 77(3), pages 164-170.
    3. A. J. Novak & G. Feichtinger & G. Leitmann, 2010. "A Differential Game Related to Terrorism: Nash and Stackelberg Strategies," Journal of Optimization Theory and Applications, Springer, vol. 144(3), pages 533-555, March.
    4. Alessandro Ramponi & Maria Elisabetta Tessitore, 2024. "Optimal Social and Vaccination Control in the SVIR Epidemic Model," Mathematics, MDPI, vol. 12(7), pages 1-17, March.
    5. Dieter Grass, 2015. "From 0D to 1D spatial models using OCMat," Papers 1505.03956, arXiv.org.
    6. Domínguez-May, Roger & Poot-López, Gaspar R. & Hernández, Juan & Gasca-Leyva, Eucario, 2020. "Dynamic optimal ration size in tilapia culture: Economic and environmental considerations," Ecological Modelling, Elsevier, vol. 420(C).
    7. Zeiler, I. & Caulkins, J.P. & Tragler, G., 2011. "Optimal control of interacting systems with DNSS property: The case of illicit drug use," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1), pages 60-73.
    8. Brito, Paulo B. & Costa, Luís F. & Dixon, Huw, 2013. "Non-smooth dynamics and multiple equilibria in a Cournot–Ramsey model with endogenous markups," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2287-2306.
    9. Niyirora, Jerome & Zhuang, Jun, 2017. "Fluid approximations and control of queues in emergency departments," European Journal of Operational Research, Elsevier, vol. 261(3), pages 1110-1124.
    10. G. Feichtinger & A. Steindl, 2006. "DNS Curves in a Production/Inventory Model," Journal of Optimization Theory and Applications, Springer, vol. 128(2), pages 295-308, February.
    11. La Torre, Davide & Liuzzi, Danilo & Marsiglio, Simone, 2021. "Epidemics and macroeconomic outcomes: Social distancing intensity and duration," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    12. Hinloopen, J. & Smrkolj, G. & Wagener, F.O.O., 2013. "In Defense of Trusts: R&D Cooperation in Global Perspective," CeNDEF Working Papers 13-05, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    13. Kort, Peter M., 1990. "Dynamic firm behavior within an uncertain environment," European Journal of Operational Research, Elsevier, vol. 47(3), pages 371-386, August.
    14. Alessandra Buratto & Luca Grosset & Bruno Viscolani, 2012. "ε-Subgame Perfectness of an Open-Loop Stackelberg Equilibrium in Linear-State Games," Dynamic Games and Applications, Springer, vol. 2(3), pages 269-279, September.
    15. d’Albis, Hippolyte & Augeraud-Véron, Emmanuelle, 2021. "Optimal prevention and elimination of infectious diseases," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    16. Gustav Feichtinger & Dieter Grass & Maria Winkler-Dworak, 2020. "The mathematics of ageing:," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(2), pages 371-399, June.
    17. Emmanuelle Fortune-Devlaminckx & Josef Haunschmied, 2010. "Diversity of firm’s life cycle adapted from the firm’s technology investment decision," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(4), pages 477-489, December.
    18. Jeroen Hinloopen & Grega Smrkolj & Florian Wagener, 2016. "R&D Cooperatives and Market Collusion: A Global Dynamic Approach," Tinbergen Institute Discussion Papers 16-048/II, Tinbergen Institute.
    19. Herbert Dawid & Gerd Muehlheusser, 2019. "Smart products: liability, timing of market introduction, and investments in product safety," CESifo Working Paper Series 7673, CESifo.
    20. Reddy, P.V. & Schumacher, J.M. & Engwerda, J.C., 2012. "Optimal Management and Differential Games in the Presence of Threshold Effects - The Shallow Lake Model," Other publications TiSEM d0dda6e4-ecbd-4999-a1f3-2, Tilburg University, School of Economics and Management.

    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:jmathe:v:3:y:2015:i:4:p:1241-1254:d:60440. 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.