A DELAYED SIR EPIDEMIC MODEL WITH GENERAL INCIDENCE RATE

被引：0

作者：

Hattaf, Khalid ^{[1
]}

Lashari, Abid Ali ^{[2
]}

Louartassi, Younes ^{[3
]}

Yousfi, Noura ^{[1
]}

机构：

[1] Hassan II Univ, Fac Sci Ben Msik, Dept Math & Comp Sci, Casablanca, Morocco

[2] Natl Univ Sci & Technol, Ctr Adv Math & Phys, Islamabad, Pakistan

[3] Mohammadia Sch Engn, Dept Elect Engn, LA2I, Rabat, Morocco

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2013年 / 03期

关键词：

SIR epidemic model; general incidence rate; time delay; global asymptotic stability; Lyapunov functional; GLOBAL STABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A delayed SIR epidemic model with a generalized incidence rate is studied. The time delay represents the incubation period. The threshold parameter, R-0(tau) is obtained which determines whether the disease is extinct or not. Throughout the paper, we mainly use the technique of Lyapunov functional to establish the global stability of both the disease-free and endemic equilibrium

引用

页码：1 / 9

页数：9

共 50 条

[31] Global Stability for Delay SIR and SEIR Epidemic Models with Nonlinear Incidence Rate [J].

Huang, Gang ;

Takeuchi, Yasuhiro ;

Ma, Wanbiao ;

Wei, Daijun .

BULLETIN OF MATHEMATICAL BIOLOGY, 2010, 72 (05) :1192-1207

[32] Complex Dynamics of an SIR Epidemic Model with Saturated Incidence Rate and Treatment [J].

Soovoojeet Jana ;

Swapan Kumar Nandi ;

T. K. Kar .

Acta Biotheoretica, 2016, 64 :65-84

[33] Bifurcation Analysis of an Epidemic Model with General Incidence Rate [J].

El-Marouf, S. A. A. ;

Alihaby, S. M. .

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2012, 28 (04) :31-39

[34] Global Stability of an Epidemic Model With General Incidence Rate [J].

Cheng, Xiaowei ;

Hu, Zhixing ;

Ma, Wanbiao .

PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, :611-615

[35] Successive Vaccination and Difference in Immunity of a Delay SIR Model with a General Incidence Rate [J].

Pei, Yongzhen ;

Li Changguo ;

Wu, Qianyong ;

Lv, Yunfei .

ABSTRACT AND APPLIED ANALYSIS, 2014,

[36] Stability of a delayed SIRS epidemic model with a nonlinear incidence rate [J].

Xu, Rui ;

Ma, Zhien .

CHAOS SOLITONS & FRACTALS, 2009, 41 (05) :2319-2325

[37] Stability of delayed virus infection model with a general incidence rate and adaptive immune response [J].

Chen, Zhimin ;

Liu, Xiuxiang ;

Xie, Zhongzhong .

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2018, 13 (02) :677-708

[38] Asymptotic properties of a delayed sir epidemic model with density dependent birth rate [J].

Ma, WB ;

Takeuchi, Y .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2004, 4 (03) :671-678

[39] A class of stochastic delayed SIR epidemic models with generalized nonlinear incidence rate and temporary immunity [J].

Fan, Kuangang ;

Zhang, Yan ;

Gao, Shujing ;

Wei, Xiang .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 481 :198-208

[40] GLOBAL BEHAVIOUR OF A DELAYED VIRAL KINETIC MODEL WITH GENERAL INCIDENCE RATE [J].

Yang, Hong ;

Wei, Junjie .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2015, 20 (05) :1573-1582

← 1 2 3 4 5 →