Journal of Engineering and Applied Sciences

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Numerical Treatment of Fractional Tumor Immune System Model by Adam-Bashforth Moulton Method

Majid M. Hamed, Ali F. Jameel, N.R. Anakira, A. Saaban and Farah A. Abdullah
Page: 495-501 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

In this study, the fractional order of tumor cell growth and their interactions with effectors such as cytotoxic T-cells, E₁(t) and natural killer cells E₂(t) are studied. The Adam-Bashforth-Moulton algorithm is used 1 2 to numerically solve and simulate the model of the tumor immune system with fractional order. From the observation of the numerical result, reduces α from 1-0.75, decrease the maximum of tumor cells. Numerical simulations illustrate that the fractional-order derivative enriches the dynamics of the system and increases the complexity of the observed behaviors which confirms that the fractional-order may play the role of memory in the system.

How to cite this article:

Majid M. Hamed, Ali F. Jameel, N.R. Anakira, A. Saaban and Farah A. Abdullah. Numerical Treatment of Fractional Tumor Immune System Model by Adam-Bashforth Moulton Method.
DOI: https://doi.org/10.36478/jeasci.2019.495.501
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2019.495.501