Long-time behavior of the heterogeneous SIRS epidemiological model
We study the long-time behavior of solutions of the SIRS model, a reaction–diffusion system that appears in epidemiology to describe the spread of epidemics. We allow the system to be heterogeneous periodic. Under some hypotheses on the coefficients, we prove that the solutions converge to an equilibrium that we identify and establish some estimates on the speed of propagation.
Authors
- Maxime Laborde
- Romain Ducasse (ORCID: https://orcid.org/0000-0002-8904-6077)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université Paris Cité (FR)
- Sorbonne Université (FR)
- Laboratoire Jacques-Louis Lions (FR)
Publication Details
- Journal
- Nonlinear Analysis
- Published
- 2025-06-06
- DOI
- https://doi.org/10.1016/j.na.2025.113867
- Primary Topic
- Mathematical and Theoretical Epidemiology and Ecology Models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Agence Nationale de la Recherche
- Université de Paris