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arXiv · 2603.15201

Global stability in an age-structured SIRS malaria transmission model

Seraphin Djaoue·Quentin Richard·Antoine Perasso·Irépran Damakoa
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Abstract

This paper proposes and analyzes a malaria transmission model structured by the chronological age of the human host population. The model couples an age-structured SIRS system for humans, incorporating waning immunity, with an SI system for mosquitoes under mass-action transmissions. Using integrated semigroup theory and spectral analysis, we establish the well-posedness of the model, derive the basic reproduction number, and prove the global asymptotic stability of the parasite-free equilibrium by using a Lyapunov functional, when $R_0\leq 1$, thereby excluding the possibility of backward bifurcation. Numerical simulations further suggest the global stability of the endemic equilibrium when $R_0>1$.

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Seraphin Djaoue, Quentin Richard, Antoine Perasso, Irépran Damakoa. 2026-03-16. Global stability in an age-structured SIRS malaria transmission model. https://arxiv.org/abs/2603.15201

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