On the Role of Water Velocity in Schistosomiasis Transmission Via Progressive Wave Analysis

ABSTRACT In large river basins such as the Mekong, water velocity plays a crucial role in the transmission of schistosomiasis by transporting parasite larvae downstream, thereby extending the spatial reach of infection. Understanding how river flow shapes the spatial dynamics of disease transmission is essential for predicting reinfection risks and designing effective control strategies in hydrologically connected communities. This study presents a conceptual and theoretical framework for exploring the influence of water velocity on schistosomiasis spread. We formulate a spatially structured Ross–Macdonald‐type model that links human and snail infection prevalence through diffusion and advection processes. Analytical results show that infection can establish and propagate when the basic reproduction number exceeds one and the wave speed surpasses a critical threshold determined jointly by diffusion and flow velocity.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-11-19
DOI
https://doi.org/10.1002/mma.70329
Primary Topic
Parasites and Host Interactions
Type
article
Field-Weighted Citation Impact
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article

On the Role of Water Velocity in Schistosomiasis Transmission Via Progressive Wave Analysis

Youcef Mammeri, Bouasy Doungsavanh
Mathematical Methods in the Applied Sciences
Parasites and Host Interactions
article

On the Role of Water Velocity in Schistosomiasis Transmission Via Progressive Wave Analysis

Youcef Mammeri, Bouasy Doungsavanh
article en

Abstract

ABSTRACT In large river basins such as the Mekong, water velocity plays a crucial role in the transmission of schistosomiasis by transporting parasite larvae downstream, thereby extending the spatial reach of infection. Understanding how river flow shapes the spatial dynamics of disease transmission is essential for predicting reinfection risks and designing effective control strategies in hydrologically connected communities. This study presents a conceptual and theoretical framework for exploring the influence of water velocity on schistosomiasis spread. We formulate a spatially structured Ross–Macdonald‐type model that links human and snail infection prevalence through diffusion and advection processes. Analytical results show that infection can establish and propagate when the basic reproduction number exceeds one and the wave speed surpasses a critical threshold determined jointly by diffusion and flow velocity.

Mathematical Methods in the Applied SciencesVol. 49(5)
Centre National de la Recherche Scientifique (FR), Institut Camille Jordan (FR), National University of Laos (LA), Université de Picardie Jules Verne (FR), Institut National des Sciences Appliquées de Lyon (FR), Université Jean Monnet (FR)
Openalex Percentile: Top 63%
Parasites and Host Interactions
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