SIR models with demography, random transmission coefficient and non-autonomous vaccination rate
Abstract In this paper we investigate the asymptotic behavior of some SIR models incorporating demography, bounded random transmission coefficient and a time-dependent vaccination strategy targeting the susceptible population. In this setting, we establish the existence and uniqueness of non-negative global solution of the models and derive conditions under which either the disease is eradicated or becomes endemic. In addition, the theoretical results are further illustrated by several numerical simulations.
Authors
- Susana Merchán (ORCID: https://orcid.org/0000-0002-3690-8657)
- Javier López‐de‐la‐Cruz
- Felipe Rivero
- Javier Rodrigo Hitos (ORCID: https://orcid.org/0000-0003-3590-8791)
Institutions
- Técnicas y Servicios de Ingeniería (Spain) (ES)
- Universidad Politécnica de Madrid (ES)
- Universidad Pontificia Comillas (ES)
Publication Details
- Journal
- Computational and Applied Mathematics
- Published
- 2025-10-15
- DOI
- https://doi.org/10.1007/s40314-025-03436-z
- Primary Topic
- COVID-19 epidemiological studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Comunidad de Madrid
- Ministerio de Ciencia, Innovación y Universidades
- Ministerio de Economía y Competitividad
- Universidad Politécnica de Madrid
- European Regional Development Fund
- Agencia Estatal de Investigación