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 |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1026-0226 1607-887X |