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Journal of Applied Mathematics and Computation

ISSN Print: 2576-0645 Downloads: 168155 Total View: 1933616
Frequency: quarterly ISSN Online: 2576-0653 CODEN: JAMCEZ
Email: jamc@hillpublisher.com
Article Open Access http://dx.doi.org/10.26855/jamc.2023.03.012

Asymptotic Behavior of Delayed SIR Epidemic Models of COVID-19 with Diffusion

Kaori Saito1,*, Toshiyuki Kohno2, Yoshihiro Hamaya2

1Department of Business Administration, Meisei University, Tokyo, Japan.

2Department of Information Science, Okayama University of Science, Okayama, Japan.

*Corresponding author: Kaori Saito

Published: May 6,2023

Abstract

Some mathematical epidemic equation of SIR with diffusion, which appears as a model of COVID-19 in China for the spread of disease-causing, is treated. While many studies have investigated the COVID-19 models, local asymptotic stability of equilibrium points and bifurcation of periodic solutions, we have not come across a paper that deals with the asymptotic stability criteria of equilibrium points with time delay and space-diffusion. The asymptotic properties of the diffusive equation have studied by applying the technique of strong maximum principle, strong fading memory property and a luxury Lyapunov functional. Moreover, we feel that our paper is real interested original result for COVID-19 models.

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How to cite this paper

Asymptotic Behavior of Delayed SIR Epidemic Models of COVID-19 with Diffusion

How to cite this paper:  Kaori Saito, Toshiyuki Kohno, Yoshihiro Hamaya. (2023) Asymptotic Behavior of Delayed SIR Epidemic Models of COVID-19 with Diffusion. Journal of Applied Mathematics and Computation7(1), 112-127.

DOI: http://dx.doi.org/10.26855/jamc.2023.03.012