Time-Dependent Positively Invariant Sets on Cauchy Problems: Applications in Population Dynamics
Year: 2026
Type: article
Abstract: We establish flow invariance results for semilinear systems governed by non-Hille–Yosida operators under time-dependent closed convex constraints. A new subtangential condition is introduced, together with explicit sufficient conditions for positive invariance formulated in terms of the resolvent and the nonlinear term. The results apply to systems with non-densely defined operators and time-varying constraints, and are illustrated by applications to an age-structured predator–prey model, a biofilm model, and a class of neutral functional differential equations.
Source: Acta Applicandae Mathematicae
Institutions: École Polytechnique de Thiès, Centre National de la Recherche Scientifique, Université de Montpellier, Maladies Infectieuses et Vecteurs: Écologie, Génétique, Évolution et Contrôle, Institut de Recherche pour le Développement, Université Le Havre Normandie, Laboratoire de Mathématiques Appliquées du Havre
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
Funder: Région Normandie
OpenAlex ID: W7128501014