Authors : Majid M. Hamed, Ali F. Jameel, N.R. Anakira, A. Saaban and Farah A. Abdullah
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 " 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.
Majid M. Hamed, Ali F. Jameel, N.R. Anakira, A. Saaban and Farah A. Abdullah, 2019. Numerical Treatment of Fractional Tumor Immune System Model by Adam-Bashforth Moulton Method. Journal of Engineering and Applied Sciences, 14: 766-772.