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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2015 (2015)

Commun. Math. Biol. Neurosci. 2015 (2015), Article ID 21

Global stability of an SEIR model with infectious force in latent and infected

Ning Cui, Junhong Li, Yugui Jia

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Abstract

This paper considers an SEIR model with infectious force in latent and infected. By means of Lyapunov function and LaSalles invariant set theorem, we proved the global asymptotical stable results of the disease-free equilibrium. It is then obtained the sufficient conditions for the global stability of the unique endemic equilibrium by the compound matrix theory. In addition, it is verified that there is phenomena of limit cycle according to simulations.

Published
16 July 2015
Volume
2015 (2015)
License
CC BY 3.0

Copyright © 2015 Ning Cui, Junhong Li, Yugui Jia. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

N. Cui, J. Li, Y. Jia, Global stability of an SEIR model with infectious force in latent and infected, Commun. Math. Biol. Neurosci. 2015 (2015), 21.

BibTeX
@article{Cui2015,
  author  = {Cui, Ning and Li, Junhong and Jia, Yugui},
  title   = {Global stability of an SEIR model with infectious force in latent and infected},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2015},
  year    = {2015},
  pages   = {21},
  doi     = {}
}