RT Journal Article T1 A structured Markov chain model to investigate the effects of pre-exposure vaccines in tuberculosis control A1 Fernández Peralta, R. A1 Gómez Corral, Antonio AB In this paper, the interest is in a structured Markov chain model to describe the transmission dynamics of tuberculosis (TB) in the setting of small communities of hosts sharing confined spaces, and to explore the potential impact of new pre-exposure vaccines on reducing the number of new TB cases during an outbreak of the disease. The model under consideration incorporates endogenous reactivation of latent tubercle bacilli, exogenous reinfection of latently infected TB hosts, loss of effectiveness of the vaccine protection, and death of hosts due to tubercle bacilli and from causes beyond TB. Various probabilistic measures are defined and analytically studied to describe extreme values and the number of vaccinations during an outbreak, and a random version of the basic reproduction number is used to measure the transmission potential during the initial phase of the epidemic. Our numerical experiments allow us to compare different pre-exposure vaccines versus the level of coverage in terms of these probabilistic measures. PB Elsevier SN 0022-5193 YR 2021 FD 2021-01-21 LK https://hdl.handle.net/20.500.14352/7286 UL https://hdl.handle.net/20.500.14352/7286 LA eng DS Docta Complutense RD 26 feb 2026