Dynamics of synthetic drugs transmission model with psychological addicts and general incidence rate

被引:20
|
作者
Ma, Mingju [1 ,2 ]
Liu, Sanyang [2 ]
Xiang, Hong [3 ]
Li, Jun [2 ]
机构
[1] Xian Polytech Univ, Sch Sci, Xian, Shaanxi, Peoples R China
[2] Xidian Univ, Sch Math & Stat, Xian, Shaanxi, Peoples R China
[3] Lanzhou Univ Technol, Inst Appl Math, Lanzhou, Gansu, Peoples R China
关键词
Synthetic drugs; Basic reproduction number; Sensitivity analysis; WITHIN-HOST;
D O I
10.1016/j.physa.2017.08.128
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Synthetic drugs are replacing traditional ones and becoming the main popular ones gradually, which have given rise to serious social issues in recent years. In this paper, a synthetic drugs transmission model with psychological addicts and general contact rate is proposed. The local and global stabilities are decided by the basic reproduction number R-0. By analyzing the sensitivity of parameters, we obtain that controlling psychological addiction is better than drugs treatment. These results are verified by numerical simulations. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:641 / 649
页数:9
相关论文
共 50 条
  • [21] Dynamics of a reaction-diffusion SIRS model with general incidence rate in a heterogeneous environment
    Avila-Vales, Eric
    Perez, Angel G. C.
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (01):
  • [22] Wave propagation in a diffusive SEIR epidemic model with nonlocal transmission and a general nonlinear incidence rate
    Xin Wu
    Zhaohai Ma
    Boundary Value Problems, 2021
  • [23] Wave propagation in a diffusive SEIR epidemic model with nonlocal transmission and a general nonlinear incidence rate
    Wu, Xin
    Ma, Zhaohai
    BOUNDARY VALUE PROBLEMS, 2021, 2021 (01)
  • [24] Mathematical study for Zika virus transmission with general incidence rate
    Alshehri, Ahmed
    El Hajji, Miled
    AIMS MATHEMATICS, 2022, 7 (04): : 7117 - 7142
  • [25] Modelling the transmission dynamics of Lassa fever with nonlinear incidence rate and vertical transmission
    Abidemi, Afeez
    Owolabi, Kolade M.
    Pindza, Edson
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2022, 597
  • [26] DYNAMICS OF A FRACTIONAL-ORDER RUBELLA DISEASE MODEL WITH VERTICAL TRANSMISSION AND SATURATED INCIDENCE RATE
    Elivina, Embun Fivi
    Kusumawinahyu, Wuryansari Muharini
    Marsudi
    COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2023,
  • [27] Dynamics of a stochastic HBV infection model with general incidence rate, cell-to-cell transmission, immune response and Ornstein-Uhlenbeck process
    Su, Xinxin
    Zhang, Xinhong
    Jiang, Daqing
    CHAOS SOLITONS & FRACTALS, 2024, 186
  • [28] An SVIQR model with vaccination-age, general nonlinear incidence rate and relapse: Dynamics and simulations
    Ouakka, Abdellah
    Elazzouzi, Abdelhai
    Hammouch, Zakia
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2025, 18 (02)
  • [29] Dynamics of a Stochastic SVEIR Epidemic Model Incorporating General Incidence Rate and Ornstein–Uhlenbeck Process
    Xinhong Zhang
    Tan Su
    Daqing Jiang
    Journal of Nonlinear Science, 2023, 33
  • [30] Dynamics of an fractional SEIR epidemic model with infectivity in latent period and general nonlinear incidence rate
    Naim, Mouhcine
    Lahmidi, Fouad
    Namir, Abdelwahed
    Kouidere, Abdelfatah
    CHAOS SOLITONS & FRACTALS, 2021, 152 (152)