On Global Stability of Disease-Free Equilibrium in Epidemiological Models

Tunde Tajudeen Yusuf
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Tunde Tajudeen Yusuf: Federal University of Technology Akure, Nigeria

European Journal of Mathematics and Statistics, 2021, vol. 2, issue 3, 37-42

Abstract: This paper considers the problem of constructing appropriate Lyapunov function for establishing the global stability of a disease-free equilibrium in epidemiological models. A generalised algorithm is proposed and it is tested for some selected epidemiological models. Experience from the application of the algorithm on test examples shows that the algorithm is easy to use, less cumbersome, and yielded the desired result, particularly in models with homogeneous population. Thus, the proposed algorithm provides a direct approach for establishing global stability of disease-free equilibrium.

Keywords: Disease-free equilibrium; Basic reproduction number; Lyapunov function; Lasalle’s invariance principle; Global asymptotic stability (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:2:y:2021:i:3:id:14021

DOI: 10.24018/ejmath.2021.2.3.21

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