2026-07-25T15:51:51Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/83732023-08-27T19:34:23Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Gamboa Pérez, María
author
López Herrero, María Jesús
2023-06-17T09:11:47Z
2023-06-17T09:11:47Z
2020-07-10
2227-7390
10.3390/math8071136
https://hdl.handle.net/20.500.14352/8373
https://doi.org/10.3390/math8071136
https://www.mdpi.com/2227-7390/8/7/1136
This paper deals with a stochastic Susceptible-Infective-Vaccinated-Susceptible (SIVS) model with infection reintroduction. Health policies depend on vaccine coverage, v0, that guarantees herd immunity levels in the population. Vaccine failures occur when an organism develops a disease despite of being vaccinated against it. After vaccination, a proportion of healthy individuals unsuccessfully tries to increase antibody levels and, consequently these individuals are not immune to the vaccine preventable disease. When an infectious process is in progress, the initial vaccine coverage drops down and herd immunity will be lost. Our objective was to introduce a warning vaccination level and define random measures quantifying the time until the number of vaccinated descends to a warning vaccination level (i.e., the so-called sleeping period), and the epidemic size. A sensitivity analysis was performed to assess the influence of the model parameters on the variation and robustness of the sleeping period and the number of infections observed within it.
eng
Atribución 3.0 España
The Effect of Setting a Warning Vaccination Level on a Stochastic SIVS Model with Imperfect Vaccine
journal article
URL
https://docta.ucm.es/bitstreams/998764c5-7007-4e33-90d1-1cbacccbe02c/download
File
MD5
f51507286b8651470b0ae51104fb4d4c
768722
application/pdf
mathematics-08-01136-v2.pdf