A TB Model with Infectivity in Latent Period and Imperfect Treatment
An epidemiological model of TB with infectivity in latent period and imperfect treatment is introduced. As presented, sustained oscillations are not possible and the endemic proportions either approach the disease-free equilibrium or an endemic equilibrium. The expanded model that stratified the inf...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/184918 |
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| _version_ | 1832568026306707456 |
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| author | Juan Wang Sha-Sha Gao Xue-Zhi Li |
| author_facet | Juan Wang Sha-Sha Gao Xue-Zhi Li |
| author_sort | Juan Wang |
| collection | DOAJ |
| description | An epidemiological model of TB with infectivity in latent period
and imperfect treatment is introduced. As presented, sustained oscillations
are not possible and the endemic proportions either approach the disease-free
equilibrium or an endemic equilibrium. The expanded model that stratified the
infectious individuals according to their time-since-infection θ is also carried out. The global asymptotic stability of the infection-free state is established as well
as local asymptotic stability of the endemic equilibrium. At the end, numerical
simulations are presented to illustrate the results. |
| format | Article |
| id | doaj-art-bacb2a2d0dd44f30829c3360ad220436 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-bacb2a2d0dd44f30829c3360ad2204362025-02-03T00:59:57ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/184918184918A TB Model with Infectivity in Latent Period and Imperfect TreatmentJuan Wang0Sha-Sha Gao1Xue-Zhi Li2Department of Mathematics, Xinyang Normal University, Xinyang 464000, ChinaDepartment of Mathematics, Xinyang Normal University, Xinyang 464000, ChinaDepartment of Mathematics, Xinyang Normal University, Xinyang 464000, ChinaAn epidemiological model of TB with infectivity in latent period and imperfect treatment is introduced. As presented, sustained oscillations are not possible and the endemic proportions either approach the disease-free equilibrium or an endemic equilibrium. The expanded model that stratified the infectious individuals according to their time-since-infection θ is also carried out. The global asymptotic stability of the infection-free state is established as well as local asymptotic stability of the endemic equilibrium. At the end, numerical simulations are presented to illustrate the results.http://dx.doi.org/10.1155/2012/184918 |
| spellingShingle | Juan Wang Sha-Sha Gao Xue-Zhi Li A TB Model with Infectivity in Latent Period and Imperfect Treatment Discrete Dynamics in Nature and Society |
| title | A TB Model with Infectivity in Latent Period and Imperfect Treatment |
| title_full | A TB Model with Infectivity in Latent Period and Imperfect Treatment |
| title_fullStr | A TB Model with Infectivity in Latent Period and Imperfect Treatment |
| title_full_unstemmed | A TB Model with Infectivity in Latent Period and Imperfect Treatment |
| title_short | A TB Model with Infectivity in Latent Period and Imperfect Treatment |
| title_sort | tb model with infectivity in latent period and imperfect treatment |
| url | http://dx.doi.org/10.1155/2012/184918 |
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