[HTML][HTML] Lyapunov functions for SIR and SIRS epidemic models
SM O'Regan, TC Kelly, A Korobeinikov… - Applied mathematics …, 2010 - Elsevier
SM O'Regan, TC Kelly, A Korobeinikov, MJA O'Callaghan, AV Pokrovskii
Applied mathematics letters, 2010•Elsevier… 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. … Korobeinikov and Wake [5] found a symmetric-in-variables Lyapunov
function, which was later extended to a wider range of epidemic models, including models
with a larger number of compartments [6], [7], [8], [9] and models with non-linear functional
responses [10], [11], [12], [13], [14], [15], [16]. In this paper, we construct a Lyapunov function …
in epidemiology. Global stability of the endemic equilibrium states of these systems is
established. … Korobeinikov and Wake [5] found a symmetric-in-variables Lyapunov
function, which was later extended to a wider range of epidemic models, including models
with a larger number of compartments [6], [7], [8], [9] and models with non-linear functional
responses [10], [11], [12], [13], [14], [15], [16]. In this paper, we construct a Lyapunov function …
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.
Elsevier
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