Work

Long-time behavior of the heterogeneous SIRS epidemiological model

Year: 2025

Type: article

Abstract: 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.

Source: Nonlinear Analysis

DOI: 10.1016/j.na.2025.113867

Authors: Romain Ducasse, Maxime Laborde

Institutions: Centre National de la Recherche Scientifique, Université Paris Cité, Sorbonne Université, Laboratoire Jacques-Louis Lions

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: hybrid

Estimated APC paid: $2,690

Funders: Agence Nationale de la Recherche, Université de Paris