具有一般非线性接触率及潜伏年龄结构的SEIS传染病模型稳定性分析

doi:10.3969/j.issn.1007-2861.2011.05.012

Journal of Shanghai University（Natural Science Edition） ›› 2011, Vol. 17 ›› Issue (5): 636-641.doi: 10.3969/j.issn.1007-2861.2011.05.012

• Mathematics.Physics and Chemistry • Previous Articles Next Articles

Stability Analysis of SEIS Epidemic Model with Latent Age Dependent and Generally Nonlinear Contact Rate

SUO Yao-hong1,2,ZHANG Zhong-hua1,3

1. School of Sciences, Xi’an University of Science and Technology, Xi’an 710054, China; 2. School of Aerospace, Xi’an Jiaotong University, Xi’an 710049, China; 3. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China

Received:2010-03-05 Online:2011-10-26 Published:2011-10-26

Abstract

Abstract: The existence of endemic equilibrium and the global stability of desease free equilibrium of a SEIS epidemic model with generally nonlinear contact rate and latent age dependent are discussed. In the sequal, an ordinary condition is obtained, and which assures the endemic equilibrium is exponentially stable.

Key words: asymptotically stable, equilibrium, latent age dependent, nonlinear contact rate, SEIS epidemic model

CLC Number:

O 175

SUO Yao-hong1,2,ZHANG Zhong-hua1,3. Stability Analysis of SEIS Epidemic Model with Latent Age Dependent and Generally Nonlinear Contact Rate[J]. Journal of Shanghai University（Natural Science Edition）, 2011, 17(5): 636-641.

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URL: https://www.journal.shu.edu.cn/EN/10.3969/j.issn.1007-2861.2011.05.012

https://www.journal.shu.edu.cn/EN/Y2011/V17/I5/636

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Stability Analysis of SEIS Epidemic Model with Latent Age Dependent and Generally Nonlinear Contact Rate

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