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Optimal Control Techniques on a Mathematical Model for the Dynamics of Tungiasis in a Community
Joint Authors
Kahuru, Jairos
Luboobi, Livingstone S.
Nkansah-Gyekye, Yaw
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-14
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
Tungiasis is a permanent penetration of female sand flea “Tunga penetrans” into the epidermis of its host.
It affects human beings and domestic and sylvatic animals.
In this paper, we apply optimal control techniques to a Tungiasis controlled mathematical model to determine the optimal control strategy in order to minimize the number of infested humans, infested animals, and sand flea populations.
In an attempt to reduce Tungiasis infestation in human population, the control strategies based on personal protection, personal treatment, educational campaign, environmental sanitation, and insecticidal treatments on the affected parts as well as on animal fur are considered.
We prove the existence of optimal control problem, determine the necessary conditions for optimality, and then perform numerical simulations.
The numerical results showed that the control strategy comprises all five control measures and that which involves the three control measures of insecticide control, insecticidal dusting on animal furs, and environmental hygiene has the significant impact on Tungiasis transmission.
Therefore, fighting against Tungiasis infestation in endemic settings, multidimensional control process should be employed in order to achieve the maximum benefits.
American Psychological Association (APA)
Kahuru, Jairos& Luboobi, Livingstone S.& Nkansah-Gyekye, Yaw. 2017. Optimal Control Techniques on a Mathematical Model for the Dynamics of Tungiasis in a Community. International Journal of Mathematics and Mathematical Sciences،Vol. 2017, no. 2017, pp.1-19.
https://search.emarefa.net/detail/BIM-1167731
Modern Language Association (MLA)
Kahuru, Jairos…[et al.]. Optimal Control Techniques on a Mathematical Model for the Dynamics of Tungiasis in a Community. International Journal of Mathematics and Mathematical Sciences No. 2017 (2017), pp.1-19.
https://search.emarefa.net/detail/BIM-1167731
American Medical Association (AMA)
Kahuru, Jairos& Luboobi, Livingstone S.& Nkansah-Gyekye, Yaw. Optimal Control Techniques on a Mathematical Model for the Dynamics of Tungiasis in a Community. International Journal of Mathematics and Mathematical Sciences. 2017. Vol. 2017, no. 2017, pp.1-19.
https://search.emarefa.net/detail/BIM-1167731
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1167731