Geodesic
Optimal Control Analysis of Fascioliasis Disease Transmission Dynamics
Mathematica Applicanda, Tome 50 (2022) no. 2, pp. 267-285.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

This paper involves the formulation of a non - linear optimal control model framework depicting fascioliasis disease transmission in the population of domestic ruminants only. The optimal control analysis is studied to investigate the effect of time-dependent preventive controls of treatment of worms in infected animals c1(t), hygiene compliance of separation/distancing of susceptible animals from infected environment sources c2(t) and sanitation of the environment c3(t). The positivity and boundedness of the model solutions are investigated, while the optimal control model solutions are shown to exist. The optimal control model is characterized using the Pontryagins Maximum Principle (PMP), which leads to the derivation of the optimality system. The optimal control model is solved using the forward - backward Runge - Kutta fourth order (RK4) sweep scheme via computational software MATLAB, where simulations reveal that each control is capable of reducing fascioliasis infection, but the combined implementation of the three control strategies are more effective in stemming the high rate of prevalence of the disease in the domestic animal population. Further simulations show that the preventive control profiles of c1(t), c2(t) and c3(t) are sustained for few months before reducing gradually to zero in the final time of 12 months.
DOI : 10.14708/ma.v50i2.7134
Classification : 92B05, 92B20, 92D30,
Mots-clés : Existence, Uniqueness, Optimality System, Pontryagin Maximum Principle (PMP), Runge- Kutta Fourth Order (RK4). 
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Oluwatayo Ogunmiloro. Optimal Control Analysis of Fascioliasis Disease Transmission Dynamics. Mathematica Applicanda, Tome 50 (2022) no. 2, pp.  267-285. doi : 10.14708/ma.v50i2.7134. http://geodesic.mathdoc.fr/articles/10.14708/ma.v50i2.7134/

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