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Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models |
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| Authors: | A. Korobeinikov |
| Affiliation: | Department of Mathematics, University of Auckland Private Bag 92019, Auckland, New Zealand Department of Mathematics and Statistics, University of Canterbury Private Bag 4800, Christchurch, New Zealand |
| Abstract: | Lyapunov functions for classical SIR, SIRS, and SIS epidemiological models are introduced. Global stability of the endemic equilibrium states of the models is thereby established. |
| Keywords: | Direct Lyapunov method Lyapunov functions Epidemiological models Endemic equilibrium state Global stability |
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