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Journal of Shanghai University >

2011 , Vol. 17 >Issue 5: 636 - 641

DOI: https://doi.org/10.3969/j.issn.1007-2861.2011.05.012

Mathematics.Physics and Chemistry

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

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  • 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 date: 2010-03-05

  Online published: 2011-10-26

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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

Cite this article

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, 2011 , 17(5) : 636 -641 . DOI: 10.3969/j.issn.1007-2861.2011.05.012

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