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

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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. © 2002 Elsevier Science Ltd. All rights reserved.

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Korobeinikov, A., & Wake, G. C. (2002). Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models. Applied Mathematics Letters, 15(8), 955–960. https://doi.org/10.1016/S0893-9659(02)00069-1

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