A note on the Lyapunov functions for SIR and SIRS epidemic model

IF 1.1 Q1 MATHEMATICS

JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI:10.47974/jim-1486

Mahboobeh Mohamadhasani

引用次数: 0

Abstract

O’Regan et al [Journal of Applied Mathematics Letters. 23 (2010) , pp. 446-448] constructed a function as a Lyapunov function for getting stability of endemic equilibrium of a mathematical model for an epidemic. In this paper, we prove the introduced function does not satisfy some of the conditions of Lyapunov function. At last, we correct the introduced function which can help us to reach the aims in stability.

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关于SIR和SIRS流行病模型的Lyapunov函数的说明

O 'Regan等[Journal of Applied Mathematics Letters. 23 (2010)， pp. 446-448]构造了一个函数作为Lyapunov函数来获得流行病数学模型的地方性平衡的稳定性。本文证明了引入的函数不满足李雅普诺夫函数的一些条件。最后，对引入的函数进行了修正，使系统在稳定性上达到目标。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

JOURNAL OF INTERDISCIPLINARY MATHEMATICS MATHEMATICS-

CiteScore

2.70

自引率

23.50%

发文量

141

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