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