Mathematical Model for Optimal Control of Soil-Transmitted Helminth Infection

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dc.contributor.author Lambura, Aristide G.
dc.contributor.author Mwanga, Gasper G.
dc.contributor.author Luboobi, Livingstone
dc.contributor.author Kuznetsov, Dmitry
dc.date.accessioned 2020-08-14T09:31:49Z
dc.date.available 2020-08-14T09:31:49Z
dc.date.issued 2020-08-01
dc.identifier.uri https://doi.org/10.1155/2020/6721919
dc.identifier.uri https://dspace.nm-aist.ac.tz/handle/20.500.12479/870
dc.description This research article published by Hindawi, 2020 en_US
dc.description.abstract In this paper, we study the dynamics of soil-transmitted helminth infection. We formulate and analyse a deterministic compartmental model using nonlinear differential equations. The basic reproduction number is obtained and both disease-free and endemic equilibrium points are shown to be asymptotically stable under given threshold conditions. The model may exhibit backward bifurcation for some parameter values, and the sensitivity indices of the basic reproduction number with respect to the parameters are determined. We extend the model to include control measures for eradication of the infection from the community. Pontryagian’s maximum principle is used to formulate the optimal control problem using three control strategies, namely, health education through provision of educational materials, educational messages to improve the awareness of the susceptible population, and treatment by mass drug administration that target the entire population(preschool- and school-aged children) and sanitation through provision of clean water and personal hygiene. Numerical simulations were done using MATLAB and graphical results are displayed. The cost effectiveness of the control measures were done using incremental cost-effective ratio, and results reveal that the combination of health education and sanitation is the best strategy to combat the helminth infection. Therefore, in order to completely eradicate soil-transmitted helminths, we advise investment efforts on health education and sanitation controls. en_US
dc.language.iso en en_US
dc.publisher Hindawi en_US
dc.subject Research Subject Categories::MATHEMATICS en_US
dc.title Mathematical Model for Optimal Control of Soil-Transmitted Helminth Infection en_US
dc.type Article en_US

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