Analysis of a Fractional Tumor-Immune Interaction Model With Exponential Kernel

被引：3
|
作者：
Dokuyucu, Mustafa Ali [1 ]
Dutta, Hemen [2 ]
机构：
[1] Ibrahim Cecen Univ Agri, Dept Math, Agri, Turkey
[2] Gauhati Univ, Dept Math, Gauhati 781014, India
来源：
FILOMAT | 2021年 / 35卷 / 06期
关键词：
Cancer; Tumor cells; Caputo-Fabrizio fractional derivative; Numerical Approximation; Mathematical environmental models; Exponential kernel; LINEAR-MODELS; IMMUNOTHERAPY; DISSIPATION; DYNAMICS;
D O I：
10.2298/FIL2106023D
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a tumor-immune interaction model has been analyzed via Caputo-Fabrizio fractional derivative operator with exponential kernel. Existence of solution of the model has been established with a fixed-point method and then it demonstrated the uniqueness of solution also. The stability of the model has been analyzed with the help of Hyers-Ulam stability approach and then numerical solution by using the Adam-Basford method. The results are further examined in detail with simulations for different fractional derivative values.
引用
收藏
页码：2023 / 2042
页数：20
相关论文
共 50 条
  • [41] Sensitivity and uncertainty analysis of a simplified Kirschner-Panetta model for immunotherapy of tumor-immune interaction
    Omondi, Onyango Lawrence
    Wang, Chuncheng
    Xue, Xiaoping
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [42] Sensitivity and uncertainty analysis of a simplified Kirschner-Panetta model for immunotherapy of tumor-immune interaction
    Onyango Lawrence Omondi
    Chuncheng Wang
    Xiaoping Xue
    Advances in Difference Equations, 2015
  • [43] Mathematical analysis of a cancer model with time-delay in tumor-immune interaction and stimulation processes
    Dehingia, Kaushik
    Sarmah, Hemanta Kumar
    Alharbi, Yamen
    Hosseini, Kamyar
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [44] Stability and bifurcation analysis of a mathematical model for tumor-immune interaction with piecewise constant arguments of delay
    Gurcan, Fuat
    Kartal, Senol
    Ozturk, Ilhan
    Bozkurt, Fatma
    CHAOS SOLITONS & FRACTALS, 2014, 68 : 169 - 179
  • [45] Mathematical analysis of a cancer model with time-delay in tumor-immune interaction and stimulation processes
    Kaushik Dehingia
    Hemanta Kumar Sarmah
    Yamen Alharbi
    Kamyar Hosseini
    Advances in Difference Equations, 2021
  • [46] Stability and Hopf bifurcation of a tumor-immune system interaction model with an immune checkpoint inhibitor
    Shi, Shujing
    Huang, Jicai
    Kuang, Yang
    Ruan, Shigui
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 118
  • [47] Delay-induced model for tumor-immune interaction and control of malignant tumor growth
    Banerjee, Sandip
    Sarkar, Ram Rup
    BIOSYSTEMS, 2008, 91 (01) : 268 - 288
  • [48] In Vitro Modeling of Tumor-Immune System Interaction
    Mengus, Chantal
    Muraro, Manuele G.
    Mele, Valentina
    Arnicarella, Francesca
    Manfredonia, Celeste
    Foglietta, Federica
    Muenst, Simone
    Soysal, Savas D.
    Iezzi, Giandomenica
    Spagnoli, Giulio C.
    ACS BIOMATERIALS SCIENCE & ENGINEERING, 2018, 4 (02): : 314 - 323
  • [49] A mathematical model of tumor-immune interactions
    Robertson-Tessi, Mark
    El-Kareh, Ardith
    Goriely, Alain
    JOURNAL OF THEORETICAL BIOLOGY, 2012, 294 : 56 - 73
  • [50] Qualitative and Computational Analysis of a Mathematical Model for Tumor-Immune Interactions
    Rihan, F. A.
    Safan, M.
    Abdeen, M. A.
    Rahman, D. Abdel
    JOURNAL OF APPLIED MATHEMATICS, 2012,
12345