RT Journal Article T1 A stochastic SVIR model with imperfect vaccine and external source of infection A1 Gamboa Pérez, María A1 López-García, Martín A1 López Herrero, María Jesús A2 Ballarini, Paolo AB A stochastic SIR (Susceptible - Infected - Recovered) type model, with external source of infection, is considered for the spread of a disease in a finite population of constant size. Our interest is in studying this process in the situation where some individuals have been vaccinated prior to the start of the epidemic, but where the efficacy of the vaccine to prevent infection is not perfect. The evolution of the epidemic is represented by an absorbing three-dimensional continuous-time Markov chain. We focus on analysing the time for a threshold number of individuals to become infected, and carry out a global sensitivity analysis for the impact of varying model parameters on the summary statistic of interest. PB Springer SN 978-3-030-91825-5 YR 2021 FD 2021 LK https://hdl.handle.net/20.500.14352/102072 UL https://hdl.handle.net/20.500.14352/102072 LA eng NO Gamboa, M., López-García, M., Lopez-Herrero, M.J. (2021). A Stochastic SVIR Model with Imperfect Vaccine and External Source of Infection. In: Ballarini, P., Castel, H., Dimitriou, I., Iacono, M., Phung-Duc, T., Walraevens, J. (eds) Performance Engineering and Stochastic Modeling. EPEW ASMTA 2021 2021. Lecture Notes in Computer Science(), vol 13104. Springer. NO Ministerio de Ciencias, Innovación y Universidades (España) NO European Commission NO Banco Santander NO Universidad Complutense de Madrid DS Docta Complutense RD 14 dic 2025