Global dynamics of a controlled discontinuous diffusive SIR epidemic system

被引：39
|
作者：
Li, Wenjie [1 ]
Ji, Jinchen [2 ]
Huang, Lihong [3 ]
Guo, Zhenyuan [4 ]
机构：
[1] Kunming Univ Sci & Technol, Dept Syst & Appl Math, Kunming 650500, Yunnan, Peoples R China
[2] Univ Technol Sydney, Sch Mech & Mechatron Engn, Broadway, NSW 2007, Australia
[3] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China
[4] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 121卷
基金：
中国国家自然科学基金;
关键词：
Diffusive epidemic system; Discontinuous control; Differential inclusions; Globally asymptotic stability; PREDATOR-PREY MODEL; THRESHOLD; EXISTENCE;
D O I：
10.1016/j.aml.2021.107420
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we investigate the global dynamics of a controlled discontinuous diffusive SIR epidemic system under Neumann boundary conditions. We first establish the conditions for the existence of the solution and obtain the boundedness of the solution for the controlled discontinuous diffusive system. Then, under the framework of differential inclusion, we study the existence of constant equilibria of the controlled diffusive epidemic system. Furthermore, we discuss the global dynamical behaviour of the controlled discontinuous diffusive epidemic system. (C) 2021 Elsevier Ltd. All rights reserved.
引用
收藏
页数：9
相关论文
共 50 条
  • [1] Global dynamics of a diffusive SIR epidemic model with saturated incidence rate and discontinuous treatments
    Cao, Qi
    Liu, Yuying
    Yang, Wensheng
    INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2022, 10 (06) : 1770 - 1777
  • [2] Global dynamics of a diffusive SIR epidemic model with saturated incidence rate and discontinuous treatments
    Qi Cao
    Yuying Liu
    Wensheng Yang
    International Journal of Dynamics and Control, 2022, 10 : 1770 - 1777
  • [3] IMPACT OF DISCONTINUOUS TREATMENTS ON DISEASE DYNAMICS IN AN SIR EPIDEMIC MODEL
    Guo, Zhenyuan
    Huang, Lihong
    Zou, Xingfu
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2012, 9 (01) : 97 - 110
  • [4] Lyapunov functions and global stability for a spatially diffusive SIR epidemic model
    Kuniya, Toshikazu
    Wang, Jinliang
    APPLICABLE ANALYSIS, 2017, 96 (11) : 1935 - 1960
  • [5] Seasonal dynamics in an SIR epidemic system
    E. Augeraud-Véron
    N. Sari
    Journal of Mathematical Biology, 2014, 68 : 701 - 725
  • [6] Seasonal dynamics in an SIR epidemic system
    Augeraud-Veron, E.
    Sari, N.
    JOURNAL OF MATHEMATICAL BIOLOGY, 2014, 68 (03) : 701 - 725
  • [7] Dynamics of nonlocal and local SIR diffusive epidemic model with free boundaries
    Li, Chenglin
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, 74
  • [8] Dynamics for a nonlocal diffusive SIR epidemic model with double free boundaries
    Zhang, Qianying
    Wang, Mingxin
    Nonlinear Analysis: Real World Applications, 2025, 81
  • [9] Global dynamics of an SIR epidemic model with nonlocal diffusion
    Kuniya, Toshikazu
    Wang, Jinliang
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 43 : 262 - 282
  • [10] Global dynamics and bifurcation in delayed SIR epidemic model
    Kar, T. K.
    Mondal, Prasanta Kumar
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) : 2058 - 2068
12345