IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v175y2023ip1s0960077923009062.html
   My bibliography  Save this article

Dynamic analysis of a fractional order SIR model with specific functional response and Holling type II treatment rate

Author

Listed:
  • Phukan, Jyotiska
  • Dutta, Hemen

Abstract

This paper investigates a fractional order SIR epidemic model with specific functional response and Holling type II treatment rate with fractional derivative in the Caputo sense. A thorough investigation of the existence, uniqueness, non-negativity and boundedness of the solutions has been performed in the beginning. Stability of the equilibria is analysed in the section next to it. Bifurcation analysis has also been carried out for the model. Finally, numerical simulations are used to support the theoretical findings.

Suggested Citation

  • Phukan, Jyotiska & Dutta, Hemen, 2023. "Dynamic analysis of a fractional order SIR model with specific functional response and Holling type II treatment rate," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923009062
    DOI: 10.1016/j.chaos.2023.114005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923009062
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2023.114005?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. Mingming Li & Xianning Liu, 2014. "An SIR Epidemic Model with Time Delay and General Nonlinear Incidence Rate," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, 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. Zhang, Zizhen & Kundu, Soumen & Tripathi, Jai Prakash & Bugalia, Sarita, 2020. "Stability and Hopf bifurcation analysis of an SVEIR epidemic model with vaccination and multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    2. Slama, Howida & Hussein, A. & El-Bedwhey, Nabila A. & Selim, Mustafa M., 2019. "An approximate probabilistic solution of a random SIR-type epidemiological model using RVT technique," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 144-156.
    3. Avila-Vales, Eric & Chan-Chí, Noé & García-Almeida, Gerardo, 2014. "Analysis of a viral infection model with immune impairment, intracellular delay and general non-linear incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 1-9.
    4. Nasir, Hanis, 2022. "On the dynamics of a diabetic population model with two delays and a general recovery rate of complications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 200(C), pages 571-602.

    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:chsofr:v:175:y:2023:i:p1:s0960077923009062. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.