QUALITATIVE ANALYSIS OF AN SEIS EPIDEMIC MODEL WITH NONLINEAR INCIDENCE RATE

被引：0

作者：

王拉娣 ^{[1
,2
]}

李建全 ^{[3
]}

机构：

[1] Department of Applied Mathematics,Shanxi University of Finance and Economics,Taiyuan ,P R China

[2] Department of Mathematics,Shanghai University,Shanghai ,P R China

[3] Department of Applied Mathematics and Physics,Air Force Engineering University,Xi'an ,P R China

来源：

Applied Mathematics and Mechanics(English Edition) | 2006年 / 05期

关键词：

epidemic model; equilibrium; stability; persistence;

D O I：

暂无

中图分类号：

O175.12 [定性理论];

学科分类号：

070104 ;

摘要：

<正>By means of limit theory and Fonda's theorem, an SEIS epidemic model with constant recruitment and the disease-related rate is considered. The incidence term is of the nonlinear form, and the basic reproduction number is found. If the basic reproduction number is less than one, there exists only the disease-free equilibrium, which is globally asymptotically stable, and the disease dies out eventually. If the basic reproduction number is greater than one, besides the unstable disease-free equilibrium, there exists also a unique endemic equilibrium, which is locally asymptotically stable, and the disease is uniformly persistent.

引用

页码：667 / 672

页数：6

共 50 条

[21] BIFURCATIONS OF AN SIRS EPIDEMIC MODEL WITH NONLINEAR INCIDENCE RATE [J].

Hu, Zhixing ;

Bi, Ping ;

Ma, Wanbiao ;

Ruan, Shigui .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2011, 15 (01) :93-112

[22] Analysis of an SEIS Epidemic Model with a Changing Delitescence [J].

Wang, Jinghai .

ABSTRACT AND APPLIED ANALYSIS, 2012,

[23] Hopf Bifurcation Analysis for a Delayed SIRS Epidemic Model with a Nonlinear Incidence Rate [J].

张子振 ;

杨慧中 .

Journal of Donghua University(English Edition), 2014, 31 (02) :201-206

[24] Analysis of stability and bifurcation for an SEIV epidemic model with vaccination and nonlinear incidence rate [J].

Xueyong Zhou ;

Jingan Cui .

Nonlinear Dynamics, 2011, 63 :639-653

[25] Analysis of stability and bifurcation for an SEIV epidemic model with vaccination and nonlinear incidence rate [J].

Zhou, Xueyong ;

Cui, Jingan .

NONLINEAR DYNAMICS, 2011, 63 (04) :639-653

[26] Stability analysis of a time delayed SIR epidemic model with nonlinear incidence rate [J].

Naresh, Ram ;

Tripathi, Agraj ;

Tchuenche, J. M. ;

Sharma, Dileep .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (02) :348-359

[27] Analysis of the Diffusion SIR Epidemic Model With Networked Delay and Nonlinear Incidence Rate [J].

Tang, Xiangyu ;

Chen, Yujuan .

JOURNAL OF MATHEMATICS, 2024, 2024

[28] Asymptotical Stability of an SEIS Epidemic Model with Latent Age Dependence and Generally Nonlinear Contact Rate [J].

Liu, Yeling ;

Zhang, Zhonghua .

ADVANCES IN NEURAL NETWORKS - ISNN 2011, PT I, 2011, 6675 :358-367

[29] Qualitative analysis of a diffusive SIR epidemic model with saturated incidence rate in a heterogeneous environment [J].

Avila-Vales, Eric ;

Garcia-Almeida, Gerardo E. ;

Perez, Angel G. C. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 503 (01)

[30] Stability analysis of an SEIQV epidemic model with saturated incidence rate [J].

Liu, Xingbo ;

Yang, Lijuan .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (06) :2671-2679

← 1 2 3 4 5 →