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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| Format: | Article |
| Language: | English |
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AIMS Press
2004-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.57 |
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| _version_ | 1832590298837942272 |
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| author | Andrei Korobeinikov Philip K. Maini |
| author_facet | Andrei Korobeinikov Philip K. Maini |
| author_sort | Andrei Korobeinikov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f8320eb2fb364dd9ab072fc1946a1b83 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2004-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-f8320eb2fb364dd9ab072fc1946a1b832025-01-24T01:46:28ZengAIMS PressMathematical Biosciences and Engineering1551-00182004-02-0111576010.3934/mbe.2004.1.57A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidenceAndrei Korobeinikov0Philip K. Maini1Centre for Mathematical Biology, Mathematical Institute University of Oxford, 24-29 St Giles', Oxford, OX1 3LBCentre for Mathematical Biology, Mathematical Institute, University of Oxford, 24-29 St Giles', Oxford OX1 3LBExplicit 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.https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.57nonlinear incidence.endemic equilibrium stateglobal stabilitydirect lyapunov method |
| spellingShingle | Andrei Korobeinikov Philip K. Maini A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence Mathematical Biosciences and Engineering nonlinear incidence. endemic equilibrium state global stability direct lyapunov method |
| title | A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence |
| title_full | A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence |
| title_fullStr | A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence |
| title_full_unstemmed | A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence |
| title_short | A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence |
| title_sort | lyapunov function and global properties for sir and seir epidemiological models with nonlinear incidence |
| topic | nonlinear incidence. endemic equilibrium state global stability direct lyapunov method |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.57 |
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