Dynamical Behavior Analysis and Control of a Fractional-order Discretized Tumor Model

被引：0
|
作者：
Zhang, Yaling [1 ]
Zhang, Xiaodan [1 ]
Zhang, Yinghan [1 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
来源：
2016 INTERNATIONAL CONFERENCE ON INFORMATION ENGINEERING AND COMMUNICATIONS TECHNOLOGY (IECT 2016) | 2016年
关键词：
fractional-order; cancer model; Discretization; chaos; feedback control; BIFURCATION;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this work, we constructed a new fractional-order dynamical model of tumor and apply Euler method to obtain the discrete system. Local stability of the fixed points of the discretized system is studied. Numerical simulations show the chaotic attractor and the richer dynamical behavior of the discretized system. Linear feedback control method is used to control chaos in the considered discretized system. Numerical simulations results show that the controller can control the chaos effectively.
引用
收藏
页码：163 / 168
页数：6
相关论文
共 50 条
  • [1] Dynamical Analysis of a Fractional-order HIV Model
    Ye, Haiping
    Ding, Yongsheng
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2009, 49 (03): : 255 - 268
  • [2] Dynamical analysis, stabilization and discretization of a chaotic fractional-order GLV model
    Matouk, A. E.
    Elsadany, A. A.
    NONLINEAR DYNAMICS, 2016, 85 (03) : 1597 - 1612
  • [3] Dynamical analysis and chaos control of a fractional-order Leslie-type predator-prey model with Caputo derivative
    Isik, Seval
    Kangalgil, Figen
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2024, 17 (04)
  • [4] Dynamical behavior of fractional-order Hastings-Powell food chain model and its discretization
    Matouk, A. E.
    Elsadany, A. A.
    Ahmed, E.
    Agiza, H. N.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 27 (1-3) : 153 - 167
  • [5] Dynamical analysis, stabilization and discretization of a chaotic fractional-order GLV model
    A. E. Matouk
    A. A. Elsadany
    Nonlinear Dynamics, 2016, 85 : 1597 - 1612
  • [6] Dynamical analysis of fractional-order differentiated Cournot triopoly game
    Al-khedhairi, Abdulrahman
    JOURNAL OF VIBRATION AND CONTROL, 2020, 26 (15-16) : 1367 - 1380
  • [7] Dynamical behavior of a fractional-order Hantavirus infection model incorporating harvesting
    Moustafa, Mahmoud
    Abdullah, Farah Aini
    Shafie, Sharidan
    Ismail, Zuhaila
    ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (12) : 11301 - 11312
  • [8] Dynamical Analysis of a Fractional-Order Boost Converter with Fractional-Order Memristive Load
    Wu, Chaojun
    Zhang, Qi
    Yang, Ningning
    Jia, Rong
    Liu, Chongxin
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (03):
  • [9] Stability control of a fractional-order Morris-Lecar neuronal model via fractional-order washout filter
    Yue, Kelong
    Yang, Renhuan
    Yang, Xiuzeng
    Cai, Qingwen
    Shen, Chao
    Yang, Liu
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2022, 33 (09):
  • [10] ANALYSIS OF A DISCRETIZED FRACTIONAL-ORDER PREY-PREDATOR MODEL UNDER WIND EFFECT
    Oztepe, Gizem S.
    Buyukkahraman, Mehtap Lafci
    ANZIAM JOURNAL, 2025, 67
12345