A non-autonomous epidemic model with time delay and vaccination

被引：5
|
作者：
Zhang, Tailei [1 ,2 ]
Liu, Junli [1 ]
Teng, Zhidong [2 ]
机构：
[1] Xi An Jiao Tong Univ, Dept Appl Math, Xian 710049, Peoples R China
[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2010年 / 33卷 / 01期
关键词：
non-autonomous SIRVS epidemic model; time delay; threshold; permanence; extinction; vaccination; BASIC REPRODUCTION NUMBER; VECTOR-BORNE DISEASES; THRESHOLD CONDITIONS; SEASONAL-VARIATION; PERSISTENCE; SEIRS;
D O I：
10.1002/mma.1142
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a non-autonomous SIRVS epidemic model with time delay and vaccination is investigated. We assume that the vaccinated have a constant immunity period. Some new threshold conditions are obtained. These threshold conditions govern the extinction and permanence of the disease. When the model degenerates into the periodic or autonomous case, the corresponding basic reproduction number can be derived from these threshold conditions. Copyright (C) 2009 John Wiley & Sons, Ltd.
引用
收藏
页码：1 / 11
页数：11
相关论文
共 50 条
  • [21] Time periodic traveling waves in a three-component non-autonomous and reaction-diffusion epidemic model
    Wei, Jingdong
    Zhou, Jiangbo
    Zhen, Zaili
    Tian, Lixin
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2021, 32 (01)
  • [22] EXISTENCE OF PULLBACK ATTRACTORS FOR THE NON-AUTONOMOUS SUSPENSION BRIDGE EQUATION WITH TIME DELAY
    Wang, Suping
    Ma, Qiaozhen
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (04): : 1299 - 1316
  • [23] A Discrete-Time Model of Nonlinear Non-Autonomous Systems
    Nguyen-Van, Triet
    Hori, Noriyuki
    Nahon, Meyer
    2014 AMERICAN CONTROL CONFERENCE (ACC), 2014, : 5150 - 5155
  • [24] Dynamical analysis of a stochastic non-autonomous SVIR model with multiple stages of vaccination
    Mohamed Mehdaoui
    Abdesslem Lamrani Alaoui
    Mouhcine Tilioua
    Journal of Applied Mathematics and Computing, 2023, 69 : 2177 - 2206
  • [25] Dynamical analysis of a stochastic non-autonomous SVIR model with multiple stages of vaccination
    Mehdaoui, Mohamed
    Alaoui, Abdesslem Lamrani
    Tilioua, Mouhcine
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (02) : 2177 - 2206
  • [26] Global asymptotic stability in a non-autonomous delay mosquito population suppression model
    Hui, Yuanxian
    Yu, Jianshe
    APPLIED MATHEMATICS LETTERS, 2022, 124
  • [27] The differential susceptibility SIR epidemic model with time delay and pulse vaccination
    Zhang X.-B.
    Huo H.-F.
    Sun X.-K.
    Fu Q.
    Journal of Applied Mathematics and Computing, 2010, 34 (1-2) : 287 - 298
  • [28] Analysis of an SIR epidemic model with pulse vaccination and distributed time delay
    Gao, Shujing
    Teng, Zhidong
    Nieto, Juan J.
    Torres, Angela
    JOURNAL OF BIOMEDICINE AND BIOTECHNOLOGY, 2007,
  • [29] Existence and Multiplicity of Positive Almost Periodic Solutions for a Non-autonomous SIR Epidemic Model
    Li, Yaqin
    Zhang, Tianwei
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2016, 39 (01) : 359 - 379
  • [30] Dynamics of a discretized SIR epidemic model with pulse vaccination and time delay
    Sekiguchi, Masaki
    Ishiwata, Emiko
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 236 (06) : 997 - 1008
12345