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
  • [1] THE ROLE OF OBESITY IN FRACTIONAL ORDER TUMOR-IMMUNE MODEL
    Arshad, Sadia
    Yildiz, Tugba Akman
    Baleanu, Dumitru
    Tang, Yifa
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2020, 82 (02): : 181 - 196
  • [2] Stability analysis of fractional order mathematical model of tumor-immune system interaction
    Ozturk, Ilhan
    Ozkose, Fatma
    CHAOS SOLITONS & FRACTALS, 2020, 133 (133)
  • [3] A tumor-immune interaction model with the effect of impulse therapy
    Sardar, Mrinmoy
    Khajanchi, Subhas
    Ahmad, Bashir
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 126
  • [4] PERIODICALLY PULSED IMMUNOTHERAPY IN A MATHEMATICAL MODEL OF TUMOR-IMMUNE INTERACTION
    Wei, Hsiu-Chuan
    Lin, Jenn-Tsann
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (04):
  • [5] GLOBAL DYNAMICS OF THE MODEL OF TUMOR-IMMUNE INTERACTION
    He, Zecen
    Zhao, Yulin
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 28 (03): : 1993 - 2010
  • [6] A study on fractional tumor-immune interaction model related to lung cancer via generalized Laguerre polynomials
    Hassani, Hossein
    Avazzadeh, Zakieh
    Agarwal, Praveen
    Mehrabi, Samrad
    Ebadi, M. J.
    Dahaghin, Mohammad Shafi
    Naraghirad, Eskandar
    BMC MEDICAL RESEARCH METHODOLOGY, 2023, 23 (01)
  • [7] DYNAMICS OF A MODEL OF TUMOR-IMMUNE INTERACTION WITH TIME DELAY AND NOISE
    Han, Lifeng
    He, Changhan
    Kuang, Yang
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (09): : 2347 - 2363
  • [8] Analysis of a stochastic tumor-immune model with regime switching and impulsive perturbations
    Deng, Ying
    Liu, Meng
    APPLIED MATHEMATICAL MODELLING, 2020, 78 : 482 - 504
  • [9] Laser immunotherapy and the tumor-immune system interaction: a mathematical model and analysis
    Laverty, Sean M.
    Dawkins, Bryan A.
    Chen, Wei R.
    BIOPHOTONICS AND IMMUNE RESPONSES IX, 2014, 8944
  • [10] STUDY ON THE DYNAMICS OF A PIECEWISE TUMOR-IMMUNE INTERACTION MODEL
    Saifullah, Sayed
    Ahmad, Shabir
    Jarad, Fahd
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (08)
12345