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

Ankit Agrawal

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.

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Published: 2014-08-29

How to Cite this Article:

Ankit Agrawal, Global analysis of an SEIRS epidemic model with new modulated saturated incidence, Communications in Mathematical Biology and Neuroscience, Vol 2014 (2014), Article ID 2

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.

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