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

By A. Korobeinikov, G. Wake. Applied Mathematics Letters, 2002

374 citations recorded by the source corpus.

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.

Subfields: Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/1b62a8a9e49d7050e70f7fa235cde37097892c4e

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In Modeling and Simulation

1. Man Kwong Mak
2. Francisco S. N. Lobo
3. Tiberiu Harko

In Public Health, Environmental and Occupational Health

1. Man Kwong Mak
2. Francisco S. N. Lobo
3. Tiberiu Harko

Citations in the corpus

• Exact analytical solutions of the Susceptible-Infected-Recovered (SIR) epidemic model and of the SIR model with equal death and birth rates (2014, methodology): “A SIR epidemic model with nonlinear incidence rate and time delay 3 was investigated in [19], while an age-structured SIR epidemic model with time periodic coefficients was studied in [20].”