Influence of time delay on bifurcation of a synthetic drug transmission model with psychological addicts

被引：1
|
作者：
Zhang, Zizhen [1 ]
Yang, Fangfang [1 ]
Xia, Wanjun [1 ]
机构：
[1] Anhui Univ Finance & Econ, Sch Management Sci & Engn, Bengbu, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Delay; Hopf bifurcation; Synthetic drugs model; Stability; Periodic solution; DYNAMICS; STABILITY;
D O I：
10.1186/s13662-020-02607-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A synthetic drug transmission model with psychological addicts and time delay is proposed in this paper. By analyzing the corresponding characteristic equation and choosing the time delay as the bifurcation parameter, a set of sufficient criteria guaranteeing local stability of the synthetic drug addiction equilibrium and the appearance of a Hopf bifurcation of the model is established. Further, the direction and stability of the Hopf bifurcation are investigated with the aid of normal form theory and center manifold theory. Finally, numerical simulations are performed to support the analytical results.
引用
收藏
页数：15
相关论文
共 50 条
  • [1] Influence of time delay on bifurcation of a synthetic drug transmission model with psychological addicts
    Zizhen Zhang
    Fangfang Yang
    Wanjun Xia
    Advances in Difference Equations, 2020
  • [2] Bifurcation Analysis of a Synthetic Drug Transmission Model with Two Time Delays
    Zhang, Hu
    Zeb, Anwar
    Wan, Aying
    Zhang, Zizhen
    MATHEMATICS, 2022, 10 (09)
  • [3] Hopf Bifurcation Analysis of a Synthetic Drug Transmission Model with Time Delays
    Zhang, Zizhen
    Yang, Fangfang
    Xia, Wanjun
    COMPLEXITY, 2019, 2019
  • [4] Dynamics of synthetic drugs transmission model with psychological addicts and general incidence rate
    Ma, Mingju
    Liu, Sanyang
    Xiang, Hong
    Li, Jun
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 491 : 641 - 649
  • [5] Hopf Bifurcation Analysis of a Housefly Model with Time Delay
    Chang, Xiaoyuan
    Gao, Xu
    Zhang, Jimin
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2023, 33 (09):
  • [6] Hopf bifurcation of a tumor immune model with time delay
    Yang, Yanhong
    Fu, Shengmao
    FRONTIERS OF MATHEMATICS IN CHINA, 2022, 17 (02) : 315 - 335
  • [7] Hopf bifurcation of a tumor immune model with time delay
    Yanhong Yang
    Shengmao Fu
    Frontiers of Mathematics in China, 2022, 17 : 315 - 335
  • [8] Bifurcation in an modified model of neutrophil cells with time delay
    Ma, S. Q.
    Hogan, S. J.
    NONLINEAR DYNAMICS, 2024, 112 (16) : 14393 - 14414
  • [9] An Epidemic Model with a Time Delay in Transmission
    Q. J. A. Khan
    E. V. Krishnan
    Applications of Mathematics, 2003, 48 (3) : 193 - 203
  • [10] Stability and Bifurcation Analysis for the Transmission Dynamics of Skin Sores with Time Delay
    Wang, Yanan
    Zhang, Tiansi
    AXIOMS, 2024, 13 (11)
12345