IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v234y2025icp135-150.html
   My bibliography  Save this article

Parameter estimation study of temporal fractional HIV/AIDS transmission model with fractal dimensions using real data in India

Author

Listed:
  • Verma, Lalchand
  • Meher, Ramakanta
  • Pandya, Darshak P.

Abstract

This work considers a temporal fractional HIV/AIDS model with fractal dimensions to examine the influence of awareness on the dynamics of HIV/AIDS. It investigates an epidemiological model of the dynamics of HIV/AIDS transmission in India using actual data from 1990 to 2016 to authenticate the proposed model. The Picard–Lindelof approach is employed to demonstrate the uniqueness and existence of the solutions where the stability analysis is done with the disease-free equilibrium point and basic reproduction number R0. The Adams–Bashforth method employs a two-step Lagrange polynomial in the generalised power-law kernel form to obtain the proposed model’s numerical solution. Finally, the least square curve fitting method is used to estimate the parametric study of the proposed model with the actual data on HIV cases reported in India from 1990 to 2016.

Suggested Citation

  • Verma, Lalchand & Meher, Ramakanta & Pandya, Darshak P., 2025. "Parameter estimation study of temporal fractional HIV/AIDS transmission model with fractal dimensions using real data in India," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 234(C), pages 135-150.
    • Handle: RePEc:eee:matcom:v:234:y:2025:i:c:p:135-150
    DOI: 10.1016/j.matcom.2025.02.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475425000473
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2025.02.011?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.

    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:234:y:2025:i:c:p:135-150. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.