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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. 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

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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

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