Work

On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model

Year: 2026

Type: article

Abstract: ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming uniqueness of the maximal reproduction number. By means of integrated semigroups theory, persistence results, and Lyapunov functionals, we establish global asymptotic stability of equilibria and extend previous results obtained for simpler (ODE) models. A key contribution lies in overcoming technical difficulties related to the definition and differentiation of Lyapunov functionals, as well as in refining arguments based on the LaSalle invariance principle.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.70967

Authors: S. Girel, Q. Richard

Institutions: Centre National de la Recherche Scientifique, Université Côte d'Azur, Laboratoire Jean-Alexandre Dieudonné, Université de Montpellier, Institut Montpelliérain Alexander Grothendieck

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: $5,000

OpenAlex ID: W7147459834

FWCI:

Cites:

Cited by:

Related to: