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A Mathematical Perspective on the Influence of Allee Effects in Oncolytic Virotherapy

Author

Listed:
  • Eymard Hernández-López

    (Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA
    Postgraduate and Research, TecNM-TESOEM, Estado de México 56400, Mexico)

  • Jin Wang

    (Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA)

Abstract

This article is concerned with the mathematical modeling of cancer virotherapy, emphasizing the impact of Allee effects on tumor cell growth. We propose a modeling framework that describes the complex interaction between tumor cells and oncolytic viruses. The efficacy of this therapy against cancer is mathematically investigated. The analysis involves linear and logistic growth scenarios coupled with different Allee effects, including weak, strong, and hyper Allee forms. Critical points are identified, and their existence and stability are analyzed using dynamical system theories and bifurcation techniques. Also, bifurcation diagrams and numerical simulations are utilized to verify and extend analytical results. It is observed that Allee effects significantly influence the stability of the system and the conditions necessary for tumor control and eradication.

Suggested Citation

  • Eymard Hernández-López & Jin Wang, 2025. "A Mathematical Perspective on the Influence of Allee Effects in Oncolytic Virotherapy," Mathematics, MDPI, vol. 13(5), pages 1-30, February.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:5:p:744-:d:1599063
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    References listed on IDEAS

    as
    1. Kaitlyn E Johnson & Grant Howard & William Mo & Michael K Strasser & Ernesto A B F Lima & Sui Huang & Amy Brock, 2019. "Cancer cell population growth kinetics at low densities deviate from the exponential growth model and suggest an Allee effect," PLOS Biology, Public Library of Science, vol. 17(8), pages 1-29, August.
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