Optimal control analysis applied to a two-patch model for Guinea worm disease

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dc.contributor.authorMushayabasa, Steady
dc.contributor.authorLosio, Anthony
dc.contributor.authorModnak, Chairat
dc.contributor.authorWang, Jin
dc.date.accessioned2021-10-01T13:41:32Z
dc.date.available2021-10-01T13:41:32Z
dc.date.issued2020-07-02
dc.description.abstractWe applied optimal control theory to a mathematical model for guinea worm disease, to determine the effectiveness of optimal education campaigns on long-term dynamics of the disease. Our model is concerned with two different host populations, represented by two patches, sharing a common water source. We computed the basic reproduction number of the model and demonstrated that whenever the reproduction number is less than unity the disease dies out in the community. Also we established that when the basic reproduction number is greater than unity the disease persists. Utilizing optimal control theory, we explored the potential of time dependent education to eliminate the disease within 120 months. The model showed that time dependent education can be successful to minimize disease prevalence in the two patches, however, its success strongly depends on the total cost of implementation as well as its maximum strength.
dc.description.departmentMathematics
dc.formatText
dc.format.extent23 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationMushayabasa, S., Losio, A. A. E., Modnak, C., & Wang, J. (2020). Optimal control analysis applied to a two-patch model for Guinea worm disease. <i>Electronic Journal of Differential Equations, 2020</i>(70), pp. 1-23.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14577
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectMathematical model
dc.subjectGuinea worm disease
dc.subjectOptimal control theory
dc.titleOptimal control analysis applied to a two-patch model for Guinea worm disease
dc.typeArticle

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