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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

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Commun. Math. Biol. Neurosci. 2014 (2014), Article ID 2

Global analysis of an SEIRS epidemic model with new modulated saturated incidence

Ankit Agrawal

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Abstract

In this paper, an SEIRS epidemic model with non-monotonic incidence rate is introduce and drive the necessary condition of the model are locally asymptotically stable, globally asymptotically stable or stable. The Global stability of the model is proved by constructing a Lyapunov function. Some numerical simulations are given to illustrate the analytical results.

Published
29 August 2014
Volume
2014 (2014)
License
CC BY 3.0

Copyright © 2014 Ankit Agrawal. 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

A. Agrawal, Global analysis of an SEIRS epidemic model with new modulated saturated incidence, Commun. Math. Biol. Neurosci. 2014 (2014), 2.

BibTeX
@article{Agrawal2014,
  author  = {Agrawal, Ankit},
  title   = {Global analysis of an SEIRS epidemic model with new modulated saturated incidence},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2014},
  year    = {2014},
  pages   = {2},
  doi     = {}
}