A TB Model with Infectivity in Latent Period and Imperfect Treatment. (19th April 2012)

• Record Type: Journal Article
• Authors: Wang, Juan; Gao, Sha-Sha; Li, Xue-Zhi
• Other Names: Jin Zhen Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2012(2012)
• Publication Date: 2012-04-19
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2012/184918
• Languages: English
• ISSNs: 1026-0226

Abstract

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-infectionθ 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.