IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i13p2146-d1691684.html
   My bibliography  Save this article

A Microbial Food Web Dynamics Under the Influence of Leachate Recirculation

Author

Listed:
  • Fatema Ahmed Al Najim

    (Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia
    These authors contributed equally to this work.)

  • Miled El Hajji

    (Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia
    ENIT-LAMSIN, BP. 37, 1002 Tunis-Belvédère, Tunis El Manar University, Tunis 1068, Tunisia
    These authors contributed equally to this work.)

  • Bader Saad Alshammari

    (Department of Mathematics, College of Science, Northern Border University, Arar 91431, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

The three-tiered microbial food chain without maintenance under leachate recirculation is the subject of a mathematical seven-dimensional dynamical system that is proposed in this work. This model captures the complex interactions between chlorophenol degraders, phenol degraders, and methanogens in the presence of hydrogen inhibition. The implementation allows for investigation of how hydrogen levels affect the overall system dynamics and phenol production. There is a thorough qualitative analysis provided. A stability analysis of equilibrium points is performed. It is demonstrated that the persistence of the three bacteria is correlated with the existence of the positive equilibrium point, assuming some monotonicity properties on the growth rates. Asymptotic coexistence is satisfied, although periodic orbit possibilities are not ruled out. In order to decrease the amount of organic materials within the reactor, we suggest an optimal strategy on the rate of leachate recirculation in the second stage. Lastly, we offer a few numerical investigations that support and strengthen the theoretical conclusions.

Suggested Citation

  • Fatema Ahmed Al Najim & Miled El Hajji & Bader Saad Alshammari, 2025. "A Microbial Food Web Dynamics Under the Influence of Leachate Recirculation," Mathematics, MDPI, vol. 13(13), pages 1-27, June.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:13:p:2146-:d:1691684
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/13/2146/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/13/13/2146/
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:gam:jmathe:v:13:y:2025:i:13:p:2146-:d:1691684. 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: 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.