TY  - JOUR
T1  - Numerical Treatment of Fractional Tumor Immune System Model by
Adam-Bashforth Moulton Method
AU - Jameel, Ali F. AU - Hamed, Majid M. AU - Anakira, N.R. AU - Saaban, A. AU - Abdullah, Farah A. 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 2
SP  - 495
EP  - 501
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.495.501
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.495.501
KW  - Fractional calculus
KW  -Adam-Bashforth-Moulton method
KW  -tumor-immune system
KW  -illustrate
KW  -memory
KW  -numerical simulations
AB  - In this study, the fractional order of tumor cell growth and their interactions with effectors such as
cytotoxic T-cells, E<sub>1</sub>(t) and natural killer cells E<sub>2</sub>(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 &alpha; 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.
ER  -