Fractional Discrete-Time Modeling and Analysis of Oncolytic Adenovirus Therapy with Tumor-Specific Immune Response

Authors

  • Amal Alshammari Universiti Teknologi Malaysia
  • Normah Maan Universiti Teknologi Malaysia
  • Mahmoud A. M. Abdelaziz Najran University, Najran, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6804

Keywords:

fractional derivatives; differential equations; fractional differential equations; antiperiodic; nonlocal boundary conditions; existence.

Abstract

Oncolytic viruses (OVs) are garnering increasing attention for their ability to directly target malignant
cells while simultaneously stimulating the immune response against cancer. This study presents a novel discrete-time
fractional-order mathematical framework to investigate the dynamics of oncolytic adenovirus therapy in conjunction with
tumor-specific immune responses. The model captures the intricate interactions between viral infection processes and the
immune system's role in modulating tumor progression. To assess the effectiveness of oncolytic viral therapy, local stability
and bifurcation analyses are conducted at the model’s equilibrium points. A set of local bifurcations is examined, and the
necessary and sufficient conditions for detecting these bifurcations are derived using an algebraic criterion method.
Numerical simulations support the theoretical results, indicating that increasing the viral infection rate and carefully
managing time steps with immune response can achieve stable and tumor-suppressive outcomes. Given the limitations of
achieving complete tumor eradication through genetically modified adenovirus therapy alone, this study explores the
application of chaos control strategies to maintain the stability of the system dynamics.

 

Author Biography

  • Normah Maan, Universiti Teknologi Malaysia

    Assoc. Prof. Dr. Normah Maan
    Supervisor
    Department of Mathematical Science
    Universiti Teknologi Malaysia
    Email Add: [email protected]

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Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Differential Equations

License

Copyright (c) 2025 Amal Alshammari, Normah Maan, Mahmoud A. M. Abdelaziz

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How to Cite

Fractional Discrete-Time Modeling and Analysis of Oncolytic Adenovirus Therapy with Tumor-Specific Immune Response. (2025). European Journal of Pure and Applied Mathematics, 18(4), 6804. https://doi.org/10.29020/nybg.ejpam.v18i4.6804