IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v217y2024icp169-187.html
   My bibliography  Save this article

A model of Plasmodium vivax malaria with delays: Mathematical analysis and numerical simulations

Author

Listed:
  • Suh, Jiyeon
  • Kwon, Hee-Dae
  • Lee, Jeehyun

Abstract

A Plasmodium vivax malaria model was formulated using a system of delay differential equations with multiple delays and temperature-dependent parameters to account for the long latency and seasonality in temperate regions. The well-posedness of the system, asymptotic local stability of the disease-free equilibrium, and existence of the endemic equilibrium are shown analytically. Seasonal parameters are incorporated into the numerical simulations to demonstrate the asymptotic behavior with delay and temperature changes.

Suggested Citation

  • Suh, Jiyeon & Kwon, Hee-Dae & Lee, Jeehyun, 2024. "A model of Plasmodium vivax malaria with delays: Mathematical analysis and numerical simulations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 217(C), pages 169-187.
    • Handle: RePEc:eee:matcom:v:217:y:2024:i:c:p:169-187
    DOI: 10.1016/j.matcom.2023.10.009
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475423004445
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2023.10.009?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. R. Rakkiyappan & V. Preethi Latha & Fathalla A. Rihan, 2019. "A Fractional-Order Model for Zika Virus Infection with Multiple Delays," Complexity, Hindawi, vol. 2019, pages 1-20, November.
    2. Kim, Jung Eun & Choi, Yongin & Lee, Chang Hyeong, 2019. "Effects of climate change on Plasmodium vivax malaria transmission dynamics: A mathematical modeling approach," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 616-630.
    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. Samad Noeiaghdam & Aliona Dreglea & Hüseyin Işık & Muhammad Suleman, 2021. "A Comparative Study between Discrete Stochastic Arithmetic and Floating-Point Arithmetic to Validate the Results of Fractional Order Model of Malaria Infection," Mathematics, MDPI, vol. 9(12), pages 1-17, June.
    2. Ali, Hegagi Mohamed & Ameen, Ismail Gad, 2021. "Optimal control strategies of a fractional order model for Zika virus infection involving various transmissions," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    3. Naim, Mouhcine & Lahmidi, Fouad & Namir, Abdelwahed & Kouidere, Abdelfatah, 2021. "Dynamics of an fractional SEIR epidemic model with infectivity in latent period and general nonlinear incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    4. Addai, Emmanuel & Zhang, Lingling & Ackora-Prah, Joseph & Gordon, Joseph Frank & Asamoah, Joshua Kiddy K. & Essel, John Fiifi, 2022. "Fractal-fractional order dynamics and numerical simulations of a Zika epidemic model with insecticide-treated nets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).

    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:217:y:2024:i:c:p:169-187. 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.