Lyapunov functions for tuberculosis models with fast and slow progression
The spread of tuberculosis is studied through two models whichinclude fast and slow progression to the infected class. For each model, Lyapunovfunctions are used to show that when the basic reproduction numberis less than or equal to one, the disease-free equilibrium is globally asymptoticallystable...
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| Format: | Article |
| Language: | English |
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AIMS Press
2006-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.603 |
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| _version_ | 1832590252977422336 |
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| author | C. Connell Mccluskey |
| author_facet | C. Connell Mccluskey |
| author_sort | C. Connell Mccluskey |
| collection | DOAJ |
| description | The spread of tuberculosis is studied through two models whichinclude fast and slow progression to the infected class. For each model, Lyapunovfunctions are used to show that when the basic reproduction numberis less than or equal to one, the disease-free equilibrium is globally asymptoticallystable, and when it is greater than one there is an endemic equilibriumwhich is globally asymptotically stable. |
| format | Article |
| id | doaj-art-569914f848c8401890c4a5ba8f6a4f93 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2006-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-569914f848c8401890c4a5ba8f6a4f932025-01-24T01:52:27ZengAIMS PressMathematical Biosciences and Engineering1551-00182006-07-013460361410.3934/mbe.2006.3.603Lyapunov functions for tuberculosis models with fast and slow progressionC. Connell Mccluskey0Department of Mathematics, Wilfrid Laurier University, 75 University Ave West, Waterloo, ON, N2L 3C5The spread of tuberculosis is studied through two models whichinclude fast and slow progression to the infected class. For each model, Lyapunovfunctions are used to show that when the basic reproduction numberis less than or equal to one, the disease-free equilibrium is globally asymptoticallystable, and when it is greater than one there is an endemic equilibriumwhich is globally asymptotically stable.https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.603fast and slowprogression.lyapunov functionglobal stabilitytuberculosis |
| spellingShingle | C. Connell Mccluskey Lyapunov functions for tuberculosis models with fast and slow progression Mathematical Biosciences and Engineering fast and slowprogression. lyapunov function global stability tuberculosis |
| title | Lyapunov functions for tuberculosis models with fast and slow progression |
| title_full | Lyapunov functions for tuberculosis models with fast and slow progression |
| title_fullStr | Lyapunov functions for tuberculosis models with fast and slow progression |
| title_full_unstemmed | Lyapunov functions for tuberculosis models with fast and slow progression |
| title_short | Lyapunov functions for tuberculosis models with fast and slow progression |
| title_sort | lyapunov functions for tuberculosis models with fast and slow progression |
| topic | fast and slowprogression. lyapunov function global stability tuberculosis |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.603 |
| work_keys_str_mv | AT cconnellmccluskey lyapunovfunctionsfortuberculosismodelswithfastandslowprogression |