IDEAS home Printed from https://ideas.repec.org/a/wly/jjmath/v2022y2022i1n2094979.html

Modelling the Role of Treatment, Public Health Education, and Chemical Control Strategies on Transmission Dynamics of Schistosomiasis

Author

Listed:
  • Timothy Kamara
  • Michael Byamukama
  • Martin Karuhanga

Abstract

In this study, a mathematical model for the transmission dynamics and control of schistosomiasis is studied using a system of nonlinear ordinary differential equations. The basic reproduction number ℛ0 for the model is obtained, and its dependence on model parameters is discussed. Analytical results reveal that the disease‐free equilibrium point is globally stable if and only if the basic reproduction number ℛ0 1 and the disease would persist at the endemic steady state. Numerical simulations reveal that a combination of treatment, public health education, and chemical control intervention strategies significantly increased the number of susceptible human population and susceptible snail population while significantly decreasing the number of infected humans, miracidia, infected snails, and cercariae. The results further indicate that a combination of treatment, public health education, and chemical control intervention strategies can effectively manage the transmission of schistosomiasis in endemic areas.

Suggested Citation

  • Timothy Kamara & Michael Byamukama & Martin Karuhanga, 2022. "Modelling the Role of Treatment, Public Health Education, and Chemical Control Strategies on Transmission Dynamics of Schistosomiasis," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:2094979
    DOI: 10.1155/2022/2094979
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2022/2094979
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/2094979?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. Ebrima Kanyi & Ayodeji Sunday Afolabi & Nelson Owuor Onyango, 2021. "Mathematical Modeling and Analysis of Transmission Dynamics and Control of Schistosomiasis," Journal of Applied Mathematics, John Wiley & Sons, vol. 2021(1).
    2. Ebrima Kanyi & Ayodeji Sunday Afolabi & Nelson Owuor Onyango, 2021. "Mathematical Modeling and Analysis of Transmission Dynamics and Control of Schistosomiasis," Journal of Applied Mathematics, Hindawi, vol. 2021, pages 1-20, May.
    3. Parsamanesh, Mahmood & Erfanian, Majid, 2021. "Stability and bifurcations in a discrete-time SIVS model with saturated incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    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. Habtamu Ayalew Engida, 2025. "Analysis of a Comprehensive Mathematical Model for Leptospirosis Dynamics: An Optimal Control Application," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    2. Dagnaw Tantie Yihunie & Joseph Y. T. Mugisha & Dawit Melese Gebru & Haileyesus Tessema Alemneh, 2024. "Modeling and Analysis of Fasciola Hepatica Disease Transmission," Abstract and Applied Analysis, John Wiley & Sons, vol. 2024(1).
    3. Habtamu Ayalew Engida & David Mwangi Theuri & Duncan Kioi Gathungu & John Gachohi & Haileyesus Tessema Alemneh, 2025. "A Coinfection Model of Leptospirosis and Melioidosis With Optimal Control," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).
    4. Bukhari, Ayaz Hussain & Raja, Muhammad Asif Zahoor & Shoaib, Muhammad & Kiani, Adiqa Kausar, 2022. "Fractional order Lorenz based physics informed SARFIMA-NARX model to monitor and mitigate megacities air pollution," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    5. Zadoki Tabo & Chester Kalinda & Lutz Breuer & Christian Albrecht, 2023. "Adapting Strategies for Effective Schistosomiasis Prevention: A Mathematical Modeling Approach," Mathematics, MDPI, vol. 11(12), pages 1-18, June.
    6. Noureddine Djenina & Adel Ouannas & Iqbal M. Batiha & Giuseppe Grassi & Taki-Eddine Oussaeif & Shaher Momani, 2022. "A Novel Fractional-Order Discrete SIR Model for Predicting COVID-19 Behavior," Mathematics, MDPI, vol. 10(13), pages 1-16, June.
    7. Lv, Wei & He, Hanfei & Li, Kezan, 2022. "Robust optimal control of a network-based SIVS epidemic model with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    8. Juhui Yan & Wanqin Wu & Qing Miao & Xuewen Tan, 2024. "Global Dynamics and Optimal Control of a Fractional-Order SIV Epidemic Model with Nonmonotonic Occurrence Rate," Mathematics, MDPI, vol. 12(17), pages 1-21, September.
    9. Xiaotao Han & Hua Liu & Xiaofen Lin & Yumei Wei & Ma Ming, 2022. "Dynamic Analysis of a VSEIR Model with Vaccination Efficacy and Immune Decline," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    10. Yao, Xiao-Yue & Li, Xian-Feng & Jiang, Jun & Leung, Andrew Y.T., 2022. "Codimension-one and -two bifurcation analysis of a two-dimensional coupled logistic map," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

    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:wly:jjmath:v:2022:y:2022:i:1:n:2094979. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/1469 .

    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.