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Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models

✍ Scribed by A. Korobeinikov; G.C. Wake

Book ID
104349408
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
449 KB
Volume
15
Category
Article
ISSN
0893-9659

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✦ Synopsis

Lyapunov functions for classical SIR, SIRS, and SIS epidemiological models 8re introduced. Global stability of the endemic equilibrium states of the models is thereby established.

πŸ“œ SIMILAR VOLUMES

Lyapunov functions for SIR and SIRS epid
Lyapunov functions for SIR and SIRS epidemic models
✍ Suzanne M. O’Regan; Thomas C. Kelly; Andrei Korobeinikov; Michael J.A. O’Callagh πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 268 KB

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.