On the Stability of an SIR Epidemic Discrete Model

Conference paper
First Online:
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 212)

Abstract

A mathematical epidemic discrete equation, which appears as a model for the spread of disease-causing, is treated. In this paper, we consider the asymptotic stability of a discrete SIR epidemic model by using the classical linearization method and some Liapunov functions.

Keywords

SIR epidemic discrete model Positive equilibrium points Asymptotic stability 
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Notes

Acknowledgements

I would like to thank Professor Saber Elaydi for useful comments in this paper. Moreover, I appreciate Professor Jim M. Cushing for useful advices. I am also grateful to Professor Toshiyuki Kohno for assistance with the numerical simulations. Finally, I am grateful to the referees for useful suggestions. The research of this paper is partially supported by the JSPS KAKENHI Grant Number 26400181.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  1. 1.Iwate Prefectural University, Miyako CollegeMiyakoJapan

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