RT Journal Article
T1 Incidence and time until disease detection in a stochastic model with vaccination and general transmission
A1 López Herrero, María Jesús
A1 Mustaro, Verdiana
A1 Taipe Hidalgo, Diana Paulina
AB In this study, we focus on the detection of a vaccine-preventable communicable disease using a stochastic SIR com-partmental model, which includes an additional compartment for individuals protected by vaccination. Althoughthe vaccine is administered as a preventive measure before the onset of the disease, its efficacy diminishes with time,which requires booster doses for susceptible individuals. Using a continuous-time Markov chain, we examine thetime required for disease detection (i.e., full confirmation of the disease) and analyze the incidence rates before detec-tion, both within the vaccinated group and throughout the population. To illustrate the usefulness of our theoreticalderivations and algorithmic schemes, we will present a numerical study involving the above descriptors for outbreaksof foot-and-mouth disease (FMD) in cattle.
PB Wiley
SN 0170-4214
YR 2025
FD 2025-11-19
LK https://hdl.handle.net/20.500.14352/127382
UL https://hdl.handle.net/20.500.14352/127382
LA eng
NO Lopez-Herrero, M., Mustaro, V. and Taipe, D. (2025) “Incidence and Time Until Disease Detection in a Stochastic Model With Vaccination and General Transmission,” Mathematical Methods in the Applied Sciences [Preprint]. Available at: https://doi.org/10.1002/mma.70306.
NO Ministerio de Ciencia e Innovación (España)
NO UE—NextGenerationEU
NO Banco Santander
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 18 dic 2025