Abstract
Fasciola (hepatica and gigantica) is a common liver fluke that infects cattle, causing disease and considerable production losses and might be transmitted to humans. Current control methods rely on drugs designed to kill parasites. Epidemiological modelling can be a helpful instrument for evaluating parasite control strategies. In the present paper, a mathematical model of Fasciola is established as a multi-scale 9 dimensional system of ODEs that includes the intermediate host and the larval development according to the life cycle of the disease. The model includes quarantine as a control strategy. The main purpose of this work is to establish a more realistic new model of the disease and observe the role of quarantine strategy in such systems. The model is shown to be well-posed. The disease-free equilibrium is locally asymptotically stable whenever the basic reproduction number is less than unity and unstable otherwise. Numerical simulations have been performed to show the impact of certain parameters on the spread of the disease and to confirm the analytical results of the model.
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We would like to acknowledge the support of the CEA-MITIC (Centre d’Excellence Africain en Mathématiques, Informatique et Technologie de l’Information et de la Communication) and PIED-UVS (Pôle d’Innovation et d’Expertise pour le Développement).
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Diaby, M., Diop, O., Nassouri, E., Sène, A., Sène, M. (2021). Mathematical Analysis of Fasciola Epidemic Model with Treatment and Quarantine. In: Mohd, M.H., Misro, M.Y., Ahmad, S., Nguyen Ngoc, D. (eds) Modelling, Simulation and Applications of Complex Systems. CoSMoS 2019. Springer Proceedings in Mathematics & Statistics, vol 359. Springer, Singapore. https://doi.org/10.1007/978-981-16-2629-6_7
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