A class of SIR epidemic model with saturation incidence and age of infection

被引：0

作者：

Yang, Junyuan ^{[1
]}

Zhang, Fengqin ^{[1
]}

Wang, Xiaoyan ^{[1
]}

机构：

[1] Yuncheng Univ, Dept Appl Math, Yuncheng 044000, Shanxi, Peoples R China

来源：

PROCEEDINGS OF NINTH ACIS INTERNATIONAL CONFERENCE ON SOFTWARE ENGINEERING, ARTIFICIAL INTELLIGENCE, NETWORKING AND PARALLEL/DISTRIBUTED COMPUTING | 2008年

关键词：

epidemic model; age of infection; local stability; saturation incidence;

D O I：

10.1109/SNPD.2008.150

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Saturating contact rate of individual contacts is very important in an epidemiology model. A class of SIR model with saturation incidence and age of infection(1) is formulated in this paper The dynamical behavior of the model is studied and the basic reproductive number R-0 is defined. It is proved that the diseased-free equilibrium is globally asymptotically stable if R-0 < 1. The endemic equilibrium is locally asymptotically stable if K-1 > alpha and R-0 > 1.

引用

页码：967 / 970

页数：4

共 50 条

[11] Traveling waves of a diffusive SIR epidemic model with a class of nonlinear incidence rates and distributed delay
Bai, Zhenguo
Zhang, Shengli
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 22 (1-3) : 1370 - 1381
[12] A DELAYED SIR EPIDEMIC MODEL WITH GENERAL INCIDENCE RATE
Hattaf, Khalid
Lashari, Abid Ali
Louartassi, Younes
Yousfi, Noura
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2013, (03) : 1 - 9
[13] Dynamics of a stochastic SIR epidemic model with saturated incidence
Liu, Qun
Chen, Qingmei
APPLIED MATHEMATICS AND COMPUTATION, 2016, 282 : 155 - 166
[14] An infection age-space structured SIR epidemic model with Neumann boundary condition
Chekroun, Abdennasser
Kuniya, Toshikazu
APPLICABLE ANALYSIS, 2020, 99 (11) : 1972 - 1985
[15] Dynamics of SIS model with saturation incidence, infection age and impulsive birth
Yang, Junyuan
Zheng, Fu
Li, Xuezhi
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (05) : 623 - 631
[16] AN INFECTION AGE-SPACE-STRUCTURED SIR EPIDEMIC MODEL WITH DIRICHLET BOUNDARY CONDITION
Chekroun, Abdennasser
Kuniya, Toshikazu
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2019, 14 (05)
[17] Estimating The Domain of Attraction of A Class of SIR Epidemic Model
Li, Chunji
Cao, Lili
Li, Ning
Chen, Xiangyong
2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 5010 - 5013
[18] A class of nonlinear adaptive observers for SIR epidemic model
Bliman, Pierre-Alexandre
Efimov, Denis
Ushirobira, Rosane
2018 EUROPEAN CONTROL CONFERENCE (ECC), 2018, : 1969 - 1974
[19] A periodic age-structured epidemic model with a wide class of incidence rates
Bai, Zhenguo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 393 (02) : 367 - 376
[20] Existence of a Nonautonomous SIR Epidemic Model with Age Structure
Yang, Junyuan
Wang, Xiaoyan
ADVANCES IN DIFFERENCE EQUATIONS, 2010,

← 1 2 3 4 5 →