IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i19p3026-d1487745.html
   My bibliography  Save this article

Analysis and Optimal Control of a Two-Strain SEIR Epidemic Model with Saturated Treatment Rate

Author

Listed:
  • Yudie Hu

    (School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650500, China)

  • Hongyan Wang

    (School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650500, China)

  • Shaoping Jiang

    (School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650500, China)

Abstract

In this paper, we conducted a study on the optimal control problem of an epidemic model which consists of two strain with different types of incidence rates: bilinear and non-monotonic. We also considered use of the saturation treatment function. Two basic regeneration numbers are calculated from the epidemic model, which are denoted as R 1 and R 2 . The global stability of the disease-free equilibrium point was studied by the Lyapunov method, and it was proved that the disease-free equilibrium point is globally asymptotically stable when R 1 and R 2 are less than one. Finally, we formulated a time-dependent optimal control problem by Pontryagin’s maximum principle. Numerical simulations were performed to establish the effects of model parameters for disease transmission as well as the effects of control.

Suggested Citation

  • Yudie Hu & Hongyan Wang & Shaoping Jiang, 2024. "Analysis and Optimal Control of a Two-Strain SEIR Epidemic Model with Saturated Treatment Rate," Mathematics, MDPI, vol. 12(19), pages 1-17, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:19:p:3026-:d:1487745
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/19/3026/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/19/3026/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hailay Weldegiorgis Berhe & Oluwole Daniel Makinde & David Mwangi Theuri, 2019. "Parameter Estimation and Sensitivity Analysis of Dysentery Diarrhea Epidemic Model," Journal of Applied Mathematics, Hindawi, vol. 2019, pages 1-13, February.
    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. Berhe, Hailay Weldegiorgis & Qureshi, Sania & Shaikh, Asif Ali, 2020. "Deterministic modeling of dysentery diarrhea epidemic under fractional Caputo differential operator via real statistical analysis," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    2. Berhe, Hailay Weldegiorgis, 2020. "Optimal Control Strategies and Cost-effectiveness Analysis Applied to Real Data of Cholera Outbreak in Ethiopia’s Oromia Region," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    3. Munir, Mohammad & Kausar, Nasreen & Shakil, Mohammad, 2021. "Parameter identification for multiperiodic functions," Technological Forecasting and Social Change, Elsevier, vol. 173(C).
    4. Chih-Wen Chang & Zohaib Ali Qureshi & Sania Qureshi & Asif Ali Shaikh & Muhammad Yaqoob Shahani, 2024. "Real-Data-Based Study on Divorce Dynamics and Elimination Strategies Using Nonlinear Differential Equations," Mathematics, MDPI, vol. 12(16), pages 1-23, August.

    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:12:y:2024:i:19:p:3026-:d:1487745. 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.