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] Metamodeling tumor-immune system interaction, tumor evasion and immunotherapy
    d'Onofrio, Alberto
    MATHEMATICAL AND COMPUTER MODELLING, 2008, 47 (5-6) : 614 - 637
  • [42] QUALITATIVE ANALYSIS OF A SIMPLE TUMOR-IMMUNE
    Li, Jianquan
    Xie, Xin
    Zhang, Dian
    Li, Jia
    Lin, Xiaolin
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (10): : 5227 - 5249
  • [43] Extinction and persistence of a tumor-immune model with white noise and pulsed comprehensive therapy
    Yang, Huan
    Tan, Yuanshun
    Yang, Jin
    Liu, Zijian
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 182 : 456 - 470
  • [44] A Mathematical Model of Tumor-Immune and Host Cells Interactions with Chemotherapy and Optimal Control
    Dinku, Tarekegn
    Kumsa, Boka
    Rana, Jyotirmoy
    Srinivasan, Aiyappan
    JOURNAL OF MATHEMATICS, 2024, 2024
  • [45] Role of regulatory T cells on a simple tumor-immune interaction system
    Feng, Peng
    Navaratna, Menaka
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 98
  • [46] COMPLICATED DYNAMICS OF TUMOR-IMMUNE SYSTEM INTERACTION MODEL WITH DISTRIBUTED TIME DELAY
    Yu, Min
    Huang, Gang
    Dong, Yueping
    Takeuchi, Yasuhiro
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (07): : 2391 - 2406
  • [47] Stability analysis and numerical simulations for interactions of tumor-immune system with drug delivery
    Yadav, Manisha
    Singh, Paramjeet
    CHAOS SOLITONS & FRACTALS, 2025, 192
  • [48] Optimal Control of Tumor-Immune System Interaction with Treatment
    Trisilowati
    8TH ANNUAL BASIC SCIENCE INTERNATIONAL CONFERENCE: COVERAGE OF BASIC SCIENCES TOWARD THE WORLD'S SUSTAINABILITY CHALLANGES, 2018, 2021
  • [49] Stability and bifurcation analysis of delay induced tumor immune interaction model
    Khajanchi, Subhas
    Banerjee, Sandip
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 248 : 652 - 671
  • [50] Optimal response to chemotherapy for a mathematical model of tumor-immune dynamics
    Ledzewicz, Urszula
    Naghnaeian, Mohammad
    Schaettler, Heinz
    JOURNAL OF MATHEMATICAL BIOLOGY, 2012, 64 (03) : 557 - 577
12345