Modeling and optimal control of the transmission dynamics of amebiasis

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dc.contributor.authorEdward, Stephen
dc.contributor.authorMpogolo, Godfrey Edward
dc.date.accessioned2024-08-19T06:57:01Z
dc.date.available2024-08-19T06:57:01Z
dc.date.issued2023
dc.descriptionFull-text. Available at https://doi.org/10.1016/j.rico.2023.100325
dc.description.abstractIn this paper, the mathematical models for amebiasis are developed and presented. The first model considers the transmission dynamics of amebiasis coupled with two constant controls: treatment and sanitation. The next-generation matrix calculates the effective reproductive number, which is then used to assess model system stability. A sensitivity analysis is performed to determine the primary factors affecting disease transmission. Nonetheless, the results suggest that indirect transmission is more crucial than direct transmission in spreading disease. In addition, we extended the first model to incorporate time-dependent optimal control measures, namely community awareness, treatment, and sanitation. The aim was to reduce the number of infections emanating from interaction with carriers, infected people, and polluted environments while minimizing the expenses associated with adopting controls. The optimal control problem is solved by applying Pontryagin’s Maximum Principle and forward and backward-in-time fourth-order Runge–Kutta methods. The results indicate that an awareness program is optimal when a single control strategy is the only available option. However, when a combination of two controls is implemented, an approach combining awareness programs and treatment is shown to be optimal. Generally, the best strategy is implementing a combination of all three controls: awareness programs, sanitation, and treatment.
dc.identifier.citationEdward, S., & Mpogolo, G. E. (2023). Modeling and optimal control of the transmission dynamics of amebiasis. Results in Control and Optimization, 13, 100325.
dc.identifier.doi10.1016/j.rico.2023.100325
dc.identifier.otherDOI: 10.1016/j.rico.2023.100325
dc.identifier.urihttps://repository.udom.ac.tz/handle/20.500.12661/4763
dc.language.isoen
dc.publisherElsevier BV
dc.relation.ispartofResults in Control and Optimization
dc.subjectAmebiasis
dc.subjectMathematical models
dc.subjectTransmission dynamics
dc.subjectConstant controls
dc.subjectTreatment
dc.subjectSanitation
dc.subjectNext-generation matrix
dc.subjectEffective reproductive number
dc.subjectModel stability
dc.subjectSensitivity analysis
dc.subjectIndirect transmission
dc.subjectDirect transmission
dc.subjectTime-dependent optimal control
dc.subjectCommunity awareness
dc.subjectPontryagin’s Maximum Principle
dc.subjectRunge–Kutta methods
dc.subjectOptimal control strategy
dc.subjectDisease transmission
dc.subjectPublic health interventions.
dc.titleModeling and optimal control of the transmission dynamics of amebiasis
dc.typeArticle
oaire.citation.volume13
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