Author

K. W. Houédanou

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Review Open access Sep 2026

A systematic and critical review of fractional order models in infectious disease dynamics

Fractional-order models have become increasingly relevant in infectious disease epidemiology for characterizing transmission dynamics, capturing memory effects, and evaluating intervention strategies. This study presents a systematic and critical review of fractional-order models applied to COVID-19, Zika, HIV/AIDS, in...

Issifou Biyagui, K. W. Houédanou, T. A. Kpanzou et al. · Discover Public Health · 0 citations

Open access Sep 2026

Epidemic dynamics as a Wasserstein gradient flow on viral load distributions

Classical epidemic models assume that infected individuals are homogeneous, reducing disease progression to a single aggregate variable. This hides the role of within‑host variability, in particular differences in viral load that directly influence both infectivity and recovery. We propose a geometric perspective in wh...

Jamal Adetola, Charbel Z. J. Mamlankou, K. W. Houédanou · Biomath · 0 citations

Preprint Aug 2026

A new Geometric Setting for the Analysis of Partial Differential Equations

In this paper, we introduce a hybrid metric geometry on the space of absolutely continuous probability densities that combines optimal transport (Wasserstein geometry) and log-ratio composition (Aitchison geometry). The hybrid distance $D_\alpha$ is defined through a Benamou--Brenier-type dynamical formulation that cou...

A. Soglo, K. W. Houédanou, Jamal Adetola et al. · 0 citations