AIMS Mathematics, 2020, 5(2): 1519-1531. doi: 10.3934/math.2020104.

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Investigating of an immune system-cancer mathematical model with Mittag-Leffler kernel

Department of Mathematics, Faculty of Science and Arts, Balıkesir University, Turkey

Special Issues: Recent Advances in Fractional Calculus with Real World Applications

Cancer that is difficult to treat, is a very common disease today and there are many types of cancer such as lung, colon, stomach. When cancer settles in the body, the immune system tries to resist it. In this study, the mathematical model of the interaction between immune system components and cancer is discussed and is modified by using Atangana-Baleanu derivative. After investigating the existence and uniqueness of the solution of the fractional immune system-cancer model, numerical simulations are given via predictor-corrector scheme.
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Keywords immune system-cancer; fractional calculus; Atangana-Baleanu derivative; dendritic cells and IL-2; fixed point theory

Citation: Necati Özdemir, Esmehan Uçar. Investigating of an immune system-cancer mathematical model with Mittag-Leffler kernel. AIMS Mathematics, 2020, 5(2): 1519-1531. doi: 10.3934/math.2020104


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This article has been cited by

  • 1. Sümeyra Uçar, Necati Özdemir, İlknur Koca, Eren Altun, Novel analysis of the fractional glucose–insulin regulatory system with non-singular kernel derivative, The European Physical Journal Plus, 2020, 135, 6, 10.1140/epjp/s13360-020-00420-w

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