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How Can Viruses Affect the Growth of Zooplankton on Phytoplankton in a Chemostat?

Author

Listed:
  • Nada A. Almuallem

    (Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, 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
    These authors contributed equally to this work.)

Abstract

In this work, we investigated a simple mathematical model describing the consumption of virus-infected phytoplankton by zooplankton in a chemostat. The system was studied by calculating the basic reproduction number, the equilibrium points, and their local and global stability. A sensitivity analysis was used to identify key chemostat factors that significantly affected the aquatic system. Additionally, we considered an optimal strategy based on the use of the dilution rate as an operating parameter that helps maintain the ecological balance of the aquatic food web.

Suggested Citation

  • Nada A. Almuallem & Miled El Hajji, 2025. "How Can Viruses Affect the Growth of Zooplankton on Phytoplankton in a Chemostat?," Mathematics, MDPI, vol. 13(7), pages 1-27, April.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:7:p:1192-:d:1628066
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    References listed on IDEAS

    as
    1. Amer Hassan Albargi & Miled El Hajji, 2023. "Bacterial Competition in the Presence of a Virus in a Chemostat," Mathematics, MDPI, vol. 11(16), pages 1-17, August.
    2. Abdulrahman Ali Alsolami & Miled El Hajji, 2023. "Mathematical Analysis of a Bacterial Competition in a Continuous Reactor in the Presence of a Virus," Mathematics, MDPI, vol. 11(4), pages 1-18, February.
    3. Yu, Xingwang & Yuan, Sanling & Zhang, Tonghua, 2019. "Survival and ergodicity of a stochastic phytoplankton–zooplankton model with toxin-producing phytoplankton in an impulsive polluted environment," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 249-264.
    4. Panja, Prabir & Mondal, Shyamal Kumar & Jana, Dipak Kumar, 2017. "Effects of toxicants on Phytoplankton-Zooplankton-Fish dynamics and harvesting," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 389-399.
    Full references (including those not matched with items on IDEAS)

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