Author

Rim Adenane

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Open access Sep 2026

Persistence, Coexistence, and Boundary Transcritical Relays for Multi-Strain Epidemic Models

Persistence, coexistence, and boundary transcritical relays are usually studied through model-specific analyses in mathematical epidemiology, ecology, population dynamics, and chemical reaction network theory. Although these fields address closely related questions, they have developed largely independently. This separ...

Rim Adenane, Florin Avram, A. Halanay · Mathematics · 0 citations

Open access Aug 2026

A Perron–Volterra Lyapunov Function for Mathematical Epidemiology Models with Non-Interacting Rank-One Strains

Persistence, coexistence, competitive exclusion, and global asymptotic stability (GAS) are closely related problems in mathematical epidemiology that are often treated by model-specific arguments. We develop a unified approach to GAS based on Perron–Volterra Lyapunov functions Lp, for multi-strain epidemic reaction net...

Rim Adenane, Florin Avram, Miruna-Mihaela Beldiman et al. · Mathematics · 0 citations