A survey on Lyapunov functions for epidemic compartmental models.

Nicolò Cangiotti, Marco Capolli, Mattia Sensi, Sara Sottile
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引用次数: 3

Abstract

In this survey, we propose an overview on Lyapunov functions for a variety of compartmental models in epidemiology. We exhibit the most widely employed functions, and provide a commentary on their use. Our aim is to provide a comprehensive starting point to readers who are attempting to prove global stability of systems of ODEs. The focus is on mathematical epidemiology, however some of the functions and strategies presented in this paper can be adapted to a wider variety of models, such as prey-predator or rumor spreading.

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流行病区室模型的李雅普诺夫函数综述。
在这项调查中,我们提出了流行病学中各种房室模型的李雅普诺夫函数的概述。我们展示了最广泛使用的函数,并对它们的使用进行了评论。我们的目标是为试图证明ODE系统的全局稳定性的读者提供一个全面的起点。重点是数学流行病学,然而本文中提出的一些功能和策略可以适用于更广泛的模型,如捕食者或谣言传播。
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A survey on Lyapunov functions for epidemic compartmental models. Prime numbers in typical continued fraction expansions. \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\pi _1$$\end{document}π1 of Miranda moduli spaces of elliptic surfaces Local singular characteristics on R 2. On transfer homomorphisms of Krull monoids.
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