A structured Markov chain model to investigate the effects of pre-exposure vaccines in tuberculosis control

Measures to assess a warning vaccination level in a stochastic SIV model with imperfect vaccine

“…This fact is in accordance with the pattern show in Figure 3A for the distribution of 𝐼 𝑤 480,1 and the relationship: 𝑆 𝑤 + 𝐼 𝑤 𝑣 0 ,1 = 𝑁 − 𝑤, appearing in Equation ( 5) that links both variables. Hence, lowering the warning level leads to an increase in the number of infected individuals in the institution, while the number of susceptible individuals is mostly concentrated in low values of the interval (50,100).…”

“…In this sense, we plan to extend the analysis to epidemic models with latency period or recovery, involving immunization waning effects (see, for instance, Refs. 17, [48][49][50]. Hoping that the study can be developed in a stochastic Markovian framework, where it is possible to identify events leading to a new contagion, recovery, waning immunization, and so forth.…”

A Markov chain model to investigate the spread of antibiotic‐resistant bacteria in hospitals

“…See, for example, the papers by De Nitto Personè and Grassi, 19 Gaver et al, 20 and Gómez-Corral et al 21 for a detailed discussion on LD-QBD processes and their applications in the context of varicella-zoster virus infections. The work to be presented here is part of our ongoing study on the use of Markov chains, including LD-QBD processes, and related matrix-analytic methods in a variety of stochastic epidemic models, such as SIS and SIR models with two strains and cross-immunity (Almaraz and Gómez-Corral, 22 Amador et al 23 ), discrete and continuous versions of SIS models (Chalub and Sousa, 24 Gómez-Corral et al 25 ), quarantine of hosts (Amador and Gómez-Corral 26 ), limited resources in epidemics (Amador and López-Herrero 27 ), and vaccination strategies (Fernández-Peralta and Gómez-Corral, 28 Gamboa and López-Herrero 29 ).…”

“…), discrete and continuous versions of SIS models (Chalub and Sousa, 24 Gómez‐Corral et al 25 26 ), limited resources in epidemics (Amador and López‐Herrero 27 ), and vaccination strategies (Fernández‐Peralta and Gómez‐Corral, 28 Gamboa and López‐Herrero 29 ).…”