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Open AccessArticle
Modeling Foot-and-Mouth Disease Dynamics Among Livestock and Wild Ruminants: Integrating Community Viral Load and Environmental Transmission Pathways
by
Mukhethwa Chantel Kaletsane
Mukhethwa Chantel Kaletsane 1
,
Azwindini Delinah Maphiri
Azwindini Delinah Maphiri 1,*
and
Rendani Netshikweta
Rendani Netshikweta 2
1
Modelling Health and Environmental Linkages Research Group (MHELRG), Department of Mathematical and Computational Sciences, University of Venda, Private Bags X5050, Thohoyandou 0950, South Africa
2
Modelling Health and Environmental Linkages Research Group (MHELRG), Department of Mathematics and Applied Mathematics, University of Limpopo, Private Bag X1106, Sovenga, Mankweng 0727, South Africa
*
Author to whom correspondence should be addressed.
Mathematics 2026, 14(11), 1812; https://doi.org/10.3390/math14111812 (registering DOI)
Submission received: 4 February 2026
/
Revised: 23 March 2026
/
Accepted: 7 April 2026
/
Published: 23 May 2026
Abstract
Foot-and-mouth disease (FMD) is a highly transmissible viral infection of livestock that threatens food security and causes substantial economic losses in endemic regions. Despite its economic impact, the role of environmental viral load and wildlife reservoirs in sustaining FMD transmission remains poorly quantified. The aim of this study is to assess the extent to which community viral load sustains FMD persistence and to identify key transmission drivers in a coupled livestock–wildlife–environment system. A Susceptible–Exposed–Infected (SEI) model with a free-living virus compartment was analyzed via the basic reproduction number () and solved numerically using a Nonstandard Finite Difference Method. Sensitivity analysis identified wild host population size, transmission rates, host recruitment, environmental viral decay, and viral load thresholds as major determinants of . Results indicate that higher transmission rates accelerate susceptible depletion and increase exposed and infected classes, with wildlife dominating environmental viral contributions. Community viral load is central to sustaining outbreaks and informs targeted control strategies.
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MDPI and ACS Style
Kaletsane, M.C.; Maphiri, A.D.; Netshikweta, R.
Modeling Foot-and-Mouth Disease Dynamics Among Livestock and Wild Ruminants: Integrating Community Viral Load and Environmental Transmission Pathways. Mathematics 2026, 14, 1812.
https://doi.org/10.3390/math14111812
AMA Style
Kaletsane MC, Maphiri AD, Netshikweta R.
Modeling Foot-and-Mouth Disease Dynamics Among Livestock and Wild Ruminants: Integrating Community Viral Load and Environmental Transmission Pathways. Mathematics. 2026; 14(11):1812.
https://doi.org/10.3390/math14111812
Chicago/Turabian Style
Kaletsane, Mukhethwa Chantel, Azwindini Delinah Maphiri, and Rendani Netshikweta.
2026. "Modeling Foot-and-Mouth Disease Dynamics Among Livestock and Wild Ruminants: Integrating Community Viral Load and Environmental Transmission Pathways" Mathematics 14, no. 11: 1812.
https://doi.org/10.3390/math14111812
APA Style
Kaletsane, M. C., Maphiri, A. D., & Netshikweta, R.
(2026). Modeling Foot-and-Mouth Disease Dynamics Among Livestock and Wild Ruminants: Integrating Community Viral Load and Environmental Transmission Pathways. Mathematics, 14(11), 1812.
https://doi.org/10.3390/math14111812
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