✦ LIBER ✦

Lyapunov functions for SIR and SIRS epidemic models

✍ Scribed by Suzanne M. O’Regan; Thomas C. Kelly; Andrei Korobeinikov; Michael J.A. O’Callaghan; Alexei V. Pokrovskii

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 268 KB
Volume: 23
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2009.11.014

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we construct a new Lyapunov function for a variety of SIR and SIRS models in epidemiology. Global stability of the endemic equilibrium states of these systems is established.

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## Abstract We study the stability of a delay susceptible–infective–recovered epidemic model with time delay. The model is formulated under the assumption that all individuals are susceptible, and we analyse the global stability __via__ two methods—by Lyapunov functionals, and—in terms of the varia