Mathematical Modelling of East Coast Fever and Foot-and-Mouth Disease Co-Infection in Cattle in Malawi
DOI:
https://doi.org/10.62054/ijdm/0301.01Abstract
This study develops a mathematical model to describe the co-infection dynamics of East Coast Fever (ECF) and Foot-and-Mouth Disease (FMD) in cattle, with a focus on livestock production systems in Malawi. The model accounts for direct transmission of FMD among cattle and tick-mediated transmission of ECF, allowing for progression from single infection to co-infection. Threshold quantities in the form of basic reproduction numbers are derived to analyze the stability of disease-free and endemic equilibria. Sensitivity analysis indicates that ECF transmission is strongly influenced by tick mortality and vector-to-cattle transmission, while FMD dynamics are primarily driven by cattle recruitment and direct contact rates. An optimal control framework incorporating vaccination, treatment, and vector control is formulated to assess the effectiveness of intervention strategies. Numerical simulations, using parameter values relevant to Malawian cattle farming, show that the disease-free equilibrium is unstable under baseline conditions, reflecting the endemicity of ECF and the recurring nature of FMD outbreaks. However, combined intervention strategies substantially reduce infection prevalence and can eliminate both diseases. These findings highlight the importance of integrated control measures targeting both cattle and tick populations and provide a quantitative framework to support improved management of ECF-FMD co-infection in Malawi.
References
Abdulrahman, S., Akinwande, N. I., Awojoyogbe, O. B., and Abubakar, U. Y. (2013). Sensitivity analysis of the parameters of a mathematical model of hepatitis b virus transmission. Universal Journal of Applied Mathematics, 1(4):230–241.
Banda, L. J. and Tanganyika, J. (2021). Livestock provide more than food in smallholder production systems of developing countries. Animal Frontiers, 11(2):7–14.
Chatanga, E., Maganga, E., Mohamed, W. M. A., Ogata, S., Pandey, G. S., Abdelbaset, A. E., Hayashida, K., Sugimoto, C., Katakura, K., Nonaka, N., and Nakao, R. (2022). High infection rate of tick-borne protozoan and rickettsial pathogens of cattle in malawi and the development of a multiplex pcr for babesia and theileria species identification. Acta Tropica, 231:106413.
Djiman, T. A., Biguezoton, A. S., and Saegerman, C. (2024). Tick-borne diseases in sub-saharan africa: A systematic review of pathogens, research focus, and implications for public health. Pathogens (Basel, Switzerland), 13(8):697.
Fahcruddin, I., Harianto, J., and Fitrial, D. (2023). Mathematical modeling of foot and mouth disease spread on livestock using saturated incidence rate. JTAM (Jurnal Teori dan Aplikasi Matematika).
Gilioli, G., Groppi, M., Vesperoni, M., Baumgärtner, J., and Gutierrez, A. (2009). An epidemiological model of east coast fever in african livestock. Ecological Modelling, 220(13):1652–1662.
Herrero, M., Grace, D., Njuki, J., Johnson, N., Enahoro, D., Silvestri, S., and Rufino, M. (2013). The roles of livestock in developing countries. Animal, 7:3–18.
Herrero, M., Thornton, P. K., Gerber, P., and Reid, R. S. (2009). Livestock, livelihoods and the environment: understanding the trade-offs. Current Opinion in Environmental Sustainability, 1(2):111–120.
Hethcote, H. W. (2000). The mathematics of infectious diseases. SIAM review, 42(4):599–653.
Inayaturohmat, F., Anggriani, N., Supriatna, A. K., and Biswas, M. H. A. (2024). A systematic literature review of mathematical models for coinfections: Tuberculosis, malaria, and hiv/aids. Journal of Multidisciplinary Healthcare, 17:1091–1109.
Keeling, M. (2005). Models of foot-and-mouth disease. Proceedings. Biological sciences / The Royal Society, 272:1195–202.
Minjauw, B. andMcLeod,A.(2003). Tick-borne diseases and poverty: the impact of ticks and tick-borne diseases on the livelihoods of small scale and marginal livestock owners in India and eastern and southern Africa. DFID Animal Health Programme, Centre for Tropical Veterinary Medicine, Edinburgh.
Monakale, K. S., Ledwaba, M. B., Smith, R. M., Gaorekwe, R. M., and Malatji, D. P. (2024). A systematic review of ticks and tick-borne pathogens of cattle reared by smallholder farmers in south africa. Current Research in Parasitology & Vector-Borne Diseases, 6:100205.
Mumba,C.,Skjerve, E., Rich, M., and Rich, K. M.(2017). Application of system dynamics andparticipatory spatial group model building in animal health: A case study of east coast fever interventions in Lundazi and monze districts of zambia. PLOS ONE,12:1–21.
Muthiru, A. W. andBukachi, S. A. (2025). East coast fever in kenya: Bridging indigenous knowledge and biomedical approaches for one health solutions. One Health Cases.
Muthiru, A. W., Muema, J., Mutono, N., Thumbi, S. M., and Bukachi, S. A. (2025). Beyond the jab: Unravelling the complexities of vaccine adoption for east coast fever in rural kenya. PLOS ONE, 20(1):e0315906.
Oligo, S., Nanteza, A., Nsubuga, J., Musoba, A., Kazibwe, A., and Lubega, G. W. (2023). East coast fever carrier status and theileria parva breakthrough strains in recently itm vaccinated and non-vaccinated cattle in iganga district, eastern uganda. Pathogens, 12(2):295.
Perko, L. (2001). Differential Equations and Dynamical Systems. Springer-Verlag, New York, 3 edition.
Pesciaroli, M., Bellato, A., Scaburri, A., Santi, A., Mannelli, A., and Bellini, S. (2025). Modelling the spread of foot and mouth disease in different livestock settings in italy to assess the cost effectiveness of potential control strategies. Animals, 15(3):386.
Pontryagin, L. S. (1987). Mathematical Theory of Optimal Processes. Routledge, 1st edition.
Shikumwifa, E. (2022). Mathematical Modeling of Foot and Mouth Disease (FMD) in Cattle and Buffaloes Using Vaccination and Culling: A Namibia Perspective. Master’s thesis, University of Namibia, Windhoek, Namibia.
Sibanda, B. (2014). Beef cattle development initiatives: A case of matobo a2 resettlement farms in zimbabwe. Global Journal of Animal Scientific Research.
Thieme, H. R. (2003). Mathematics in Population Biology, volume 12 of Princeton Series in Theoretical and Computational Biology. Princeton University Press, Princeton, NJ.
van den Driessche, P. and Watmough, J. (2002). Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Mathematical Biosciences, 180:29–48.
Wongnak, P., Yano, T., Sekiguchi, S., Chalvet-Monfray, K., Premashthira, S., Thanapongtharm, W., and Wiratsudakul, A. (2024). A stochastic modeling study of quarantine strategies against foot-and-mouth disease risks through cattle trades across the thailand-myanmar border. Preventive Veterinary Medicine, 230:106282.
Yano, T. K., Afrifa-Yamoah, E., Collins, J., Mueller, U., and Richardson, S. (2024). Mathematical modelling and analysis for the co-infection of viral and bacterial diseases: A systematic review protocol. BMJ Open, 14(12):e084027.
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Data Availability Statement
No new data were collected for this study. Parameter values and information used in the model reflect practical epidemiological conditions in Malawi and are available from the authors upon reasonable request.
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Copyright (c) 2026 David Nyirenda, Patrick Phepa, Nelson Dzupire, Patrick Chidzalo (Author)
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