IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v195y2022icp31-55.html
   My bibliography  Save this article

Analysis of a host–vector dynamics of a dengue disease model with optimal vector control strategy

Author

Listed:
  • Saha, Sangeeta
  • Samanta, Guruprasad

Abstract

Dengue is a mosquito-borne viral disease where the species Aedes aegypti acts as the vector. In this work, we have proposed a biologically well-posed epidemic model to study the dynamics of dengue strain. It is observed that people infected with severe dengue are more infectious than people with mild symptoms in terms of disease transmission. Also, continuous removal of mosquitoes decreases the chances of becoming infected with Dengue significantly. In the later part, an optimal control problem is formulated where a lesser number of people become infected due to time-dependent people’s awareness regarding taking precaution and mosquito removal measures. The numerical simulation shows that the transmission of the virus among mosquitoes becomes lowest when both the control policies are implemented. So, from the overall analysis, it is observed that maintaining effective non-pharmaceutical precautions at an early stage and removing mosquitoes from the system at certain time intervals decrease the infection level significantly in the environment by reducing the probability of becoming infected.

Suggested Citation

  • Saha, Sangeeta & Samanta, Guruprasad, 2022. "Analysis of a host–vector dynamics of a dengue disease model with optimal vector control strategy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 195(C), pages 31-55.
    • Handle: RePEc:eee:matcom:v:195:y:2022:i:c:p:31-55
    DOI: 10.1016/j.matcom.2021.12.021
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475421004559
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2021.12.021?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. Saha, Sangeeta & Samanta, G.P., 2019. "Modelling and optimal control of HIV/AIDS prevention through PrEP and limited treatment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 280-307.
    2. Saha, Sangeeta & Samanta, G.P., 2019. "Dynamics of an epidemic model with impact of toxins," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
    3. Brito da Cruz, Artur M.C. & Rodrigues, Helena Sofia, 2021. "Personal protective strategies for dengue disease: Simulations in two coexisting virus serotypes scenarios," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 254-267.
    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. Olivares, Alberto & Staffetti, Ernesto, 2023. "A statistical moment-based spectral approach to the chance-constrained stochastic optimal control of epidemic models," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    2. Saha, Pritam & Sikdar, Gopal Chandra & Ghosh, Jayanta Kumar & Ghosh, Uttam, 2023. "Disease dynamics and optimal control strategies of a two serotypes dengue model with co-infection," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 209(C), pages 16-43.
    3. Li, Yazhi & Wang, Yan & Liu, Lili, 2023. "Optimal control of dengue vector based on a reaction–diffusion model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 250-270.

    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. Saha, Sangeeta & Dutta, Protyusha & Samanta, Guruprasad, 2022. "Dynamical behavior of SIRS model incorporating government action and public response in presence of deterministic and fluctuating environments," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Abidemi, Afeez & Ackora-Prah, Joseph & Fatoyinbo, Hammed Olawale & Asamoah, Joshua Kiddy K., 2022. "Lyapunov stability analysis and optimization measures for a dengue disease transmission model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 602(C).
    3. 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.
    4. Li, Yazhi & Wang, Yan & Liu, Lili, 2023. "Optimal control of dengue vector based on a reaction–diffusion model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 250-270.

    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:eee:matcom:v:195:y:2022:i:c:p:31-55. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.