A delayed fractional-order tumor virotherapy model: Stability and Hopf bifurcation

被引：5
|
作者：
Amine, Saida [1 ]
Hajri, Youssra [1 ]
Allali, Karam [1 ]
机构：
[1] Hassan II Univ Casablanca, Fac Sci & Tech, Lab Math Comp Sci & Applicat, POB 146, Mohammadia 20650, Morocco
来源：
CHAOS SOLITONS & FRACTALS | 2022年 / 161卷
关键词：
Cancer treatment; Virotherapy; Two delays; Immune response; Local stability; Hopf bifurcation; DYNAMICS; VIRUSES;
D O I：
10.1016/j.chaos.2022.112396
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A fractional-order tumor virotherapy model with two time delays is presented and analyzed in this paper. The existence, positivity and bounbdedness of solutions under positive initial conditions will be proved. The basic reproduction number R-0 and the immune response reproduction number R-1 are given. The virus-free equilibrium E-0 and the therapy partial success equilibrium E* are presented depending on the value of R-0 and R-1. Sufficient conditions to ensure the local stability of both the virus-free equilibrium and the therapy partial success equilibrium according to different values of two time delays are established. By considering the time delay as a bifurcation parameter, it was appeared that the model undergoes a Hopf bifurcation when the delay passes through a critical value. Finally, numerical simulations were carried out to support the theoretical results and to show the effect of both the fractional-order derivative and the time delays. (C) 2022 Elsevier Ltd. All rights reserved.
引用
收藏
页数：17
相关论文
共 50 条
  • [21] Stability and Hopf bifurcation analysis of fractional-order complex-valued neural networks with time delays
    Rakkiyappan, R.
    Udhayakumar, K.
    Velmurugan, G.
    Cao, Jinde
    Alsaedi, Ahmed
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [22] Bifurcation of a Fractional-Order Delayed Malware Propagation Model in Social Networks
    Xu, Changjin
    Liao, Maoxin
    Li, Peiluan
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2019, 2019
  • [23] The hopf bifurcation analysis in a delayed fractional SIR epidemic model
    Pan, Feng
    Cui, Xinshu
    Xue, Dingyu
    Liu, Lu
    PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC), 2018, : 3078 - 3082
  • [24] Stability and Hopf bifurcation analysis of a fractional-order p53 multiple time delays model under PDα control
    Wang, Danni
    Yang, Hongli
    Yang, Liangui
    NONLINEAR DYNAMICS, 2024, 112 (07) : 5405 - 5419
  • [25] Stability and Hopf bifurcation analysis for fractional-order SVEIR computer virus propagation model with nonlinear incident rate and two delays
    Yang, Linji
    Song, Qiankun
    Liu, Yurong
    NEUROCOMPUTING, 2023, 547
  • [26] Bifurcation control of a delayed fractional-order prey-predator model with cannibalism and disease
    Li, Ning
    Yan, Mengting
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2022, 600
  • [27] Exploration and Control of Bifurcation in a Fractional-Order Delayed Glycolytic Oscillator Model
    Liu, Yizhong
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2023, 90 (01) : 103 - 149
  • [28] Stability Analysis and Hopf Bifurcation Control of a Fractional-order Small World Network Model Based on PD Controller
    Wang, Mengxi
    Hu, Wei
    Sun, Rui
    Ding, Dawei
    2016 IEEE INFORMATION TECHNOLOGY, NETWORKING, ELECTRONIC AND AUTOMATION CONTROL CONFERENCE (ITNEC), 2016, : 603 - 606
  • [29] Stability and Hopf bifurcation in a delayed viral infection model with mitosis transmission
    Avila-Vales, Eric
    Chan-Chi, Noe
    Garcia-Almeida, Gerardo E.
    Vargas-De-Leon, Cruz
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 259 : 293 - 312
  • [30] Global stability and Hopf bifurcation of delayed fractional-order complex-valued BAM neural network with an arbitrary number of neurons
    Javidmanesh, Elham
    Bahabadi, Alireza Zamani
    JOURNAL OF MATHEMATICAL MODELING, 2023, 11 (01): : 19 - 34
12345