A TB Model with Infectivity in Latent Period and Imperfect Treatment

Juan Wang, Sha-Sha Gao and Xue-Zhi Li

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-19

Abstract:

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 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:184918

DOI: 10.1155/2012/184918

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