Abstract
In this article, we investigate a tumor-immune and antigen-presenting cells population in the form of a mathematical model. To achieve greater accuracy in understanding the spread of tumor and immune cell populations, we apply the Caputo–Fabrizio (CF) fractional-order derivative. The fixed-point theorems are employed to analyze the uniqueness and existence of the model. The Laplace transform along with the Adomian decomposition approach is used to construct an algorithm for a semi-analytical solution under the CF fractional derivative. The chaotic dynamics of the cancer-immune model are confirmed by the Lyapunov exponents. The article examines how different vaccination protocols can affect tumor dormancy and recurrence. Furthermore, we offer a description for why adoptive immunotherapy techniques may potentially increase tumor growth rather than suppress it.
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Ali, A., Althobaiti, S., Althobaiti, A. et al. Chaotic dynamics in a non-linear tumor-immune model with Caputo–Fabrizio fractional operator. Eur. Phys. J. Spec. Top. 232, 2513–2529 (2023). https://doi.org/10.1140/epjs/s11734-023-00929-y
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DOI: https://doi.org/10.1140/epjs/s11734-023-00929-y