A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence

Explicit Lyapunov functions for SIR and SEIR compartmentalepidemic models with nonlinear incidence of the form $\beta I^p S^q$for the case $p \leq 1$are constructed. Global stability of the models is thereby established.

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Bibliographic Details
Main Authors: Andrei Korobeinikov, Philip K. Maini
Format: Article
Language:English
Published: AIMS Press 2004-02-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.57
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