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Extending the SIR epidemic model

✍ Scribed by J Satsuma; R Willox; A Ramani; B Grammaticos; A.S Carstea


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
181 KB
Volume
336
Category
Article
ISSN
0378-4371

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πŸ“œ SIMILAR VOLUMES


Lyapunov functions for SIR and SIRS epid
✍ 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.

Global behaviour of an SIR epidemic mode
✍ Jean M. Tchuenche; Alexander Nwagwo; Richard Levins πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 166 KB

## 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 methodsβ€”by Lyapunov functionals, andβ€”in terms of the varia