Global stability of a discrete SIR epidemic model with vaccination and treatment

被引：20

作者：

Cui, Qianqian ^{[1
]}

Zhang, Qiang ^{[2
]}

机构：

[1] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Peoples R China

[2] Shihezi Univ, Coll Sci, Shihezi 832000, Xinjiang, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2015年 / 21卷 / 02期

关键词：

dynamically consistent; SIR epidemic model; globally asymptotically stable; NSFD scheme; discrete-time model; FINITE-DIFFERENCE SCHEMES; NSFD SCHEME; EQUATIONS;

D O I：

10.1080/10236198.2014.990450

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a discrete susceptible-infected-removed epidemic model with vaccination and treatment and it is shown that the global dynamics is determined by the basic reproduction number R-0. If R-0 < 1, then the disease-free equilibrium is globally asymptotically stable and if R-0 > 1, then the endemic equilibrium is globally asymptotically stable.

引用

页码：111 / 117

页数：7

共 50 条

[41] On the global stability of the endemic state in an epidemic model with vaccination
Parsamanesh, Mahmood
Farnoosh, Rahman
MATHEMATICAL SCIENCES, 2018, 12 (04) : 313 - 320
[42] Global Stability of an SIS Epidemic Model with Age of Vaccination
Shihua Zhang
Rui Xu
Differential Equations and Dynamical Systems, 2022, 30 : 1 - 22
[43] Global stability of an epidemic model with latent stage and vaccination
Li, Jianquan
Yang, Yali
Zhou, Yicang
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) : 2163 - 2173
[44] Oscillation and global asymptotic stability in a discrete epidemic model
Zhang, DC
Shi, B
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 278 (01) : 194 - 202
[45] Global dynamical behaviors for an sir epidemic model with time delay and pulse vaccination
Meng, Xinzhu
Chen, Lansun
TAIWANESE JOURNAL OF MATHEMATICS, 2008, 12 (05): : 1107 - 1122
[46] Optimal Vaccination, Treatment, and Preventive Campaigns in Regard to the SIR Epidemic Model
Grigorieva, E. V.
Khailov, E. N.
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2014, 9 (04) : 105 - 121
[47] The Effect of Pulse Vaccination and Treatment on SIR Epidemic Model with Media Impact
He, Zhi-Long
Nie, Lin-Fei
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015
[48] Lyapunov functions and global stability for a spatially diffusive SIR epidemic model
Kuniya, Toshikazu
Wang, Jinliang
APPLICABLE ANALYSIS, 2017, 96 (11) : 1935 - 1960
[49] LYAPUNOV FUNCTIONS AND GLOBAL STABILITY FOR A DISCRETIZED MULTIGROUP SIR EPIDEMIC MODEL
Ding, Deqiong
Qin, Wendi
Ding, Xiaohua
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2015, 20 (07): : 1971 - 1981
[50] GLOBAL STABILITY OF AN SIR EPIDEMIC MODEL WITH DELAY AND GENERAL NONLINEAR INCIDENCE
McCluskey, C. Connell
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2010, 7 (04) : 837 - 850

← 1 2 3 4 5 →