Parameter estimation and sensitivity analysis of Dysentery diarrhea epidemic model

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dc.contributor.authorBerhe, Hailay Weldegiorgisen_ZA
dc.contributor.authorMakinde, Oluwole Danielen_ZA
dc.contributor.authorTheuri, David Mwangien_ZA
dc.date.accessioned2021-11-25T12:20:32Z
dc.date.available2021-11-25T12:20:32Z
dc.date.issued2019
dc.descriptionCITATION: Berhe, H. W., Makinde, O. D. & Theuri, D. M. 2019. Parameter estimation and sensitivity analysis of dysentery diarrhea epidemic model. Journal of Applied Mathematics, 2019:Article ID 8465747, doi:10.1155/2019/8465747.
dc.descriptionThe original publication is available at https://www.hindawi.com/journals/jam
dc.description.abstractIn this paper, dysentery diarrhea deterministic compartmental model is proposed. The local and global stability of the disease- free equilibrium is obtained using the stability theory of differential equations. Numerical simulation of the system shows that the backward bifurcation of the endemic equilibrium exists for 𝑅₀ > 1. The system is formulated asa standard nonlinear least squares problem to estimate the parameters. The estimated reproduction number, based on the dysentery diarrhea disease data for Ethiopia in 2017, is 𝑅₀ = 1.1208. This suggests that elimination of the dysentery disease from Ethiopia is not practical. A graphical method is used to validate the model. Sensitivity analysis is carried out to determine the importance of model parameters in the disease dynamics. It is found out that the reproduction number is the most sensitive to the effective transmission rate of dysentery diarrhea (𝛽). It is also demonstrated that control of the effective transmission rate is essential to stop the spreading of the disease.en_ZA
dc.description.urihttps://www.hindawi.com/journals/jam/2019/8465747/
dc.description.versionPublisher's version
dc.format.extent14 pages : illustrations
dc.identifier.citationBerhe, H. W., Makinde, O. D. & Theuri, D. M. 2019. Parameter estimation and sensitivity analysis of dysentery diarrhea epidemic model. Journal of Applied Mathematics, 2019:Article ID 8465747, doi:10.1155/2019/8465747
dc.identifier.issn1687-0042 (online)
dc.identifier.issn1110-757X (print)
dc.identifier.otherdoi:10.1155/2019/8465747
dc.identifier.urihttp://hdl.handle.net/10019.1/123502
dc.language.isoen_ZAen_ZA
dc.publisherHindawi
dc.rights.holderAuthors retain copyright
dc.subjectDiarrheaen_ZA
dc.subjectEpidemiology -- Dysenteraen_ZA
dc.subjectParameter estimation -- Virus diseasesen_ZA
dc.subjectDysentera -- Mathematical modelsen_ZA
dc.subjectViral gastroenteritisen_ZA
dc.subjectDifferential equations, Nonlinear -- Virus diseases -- Analysisen_ZA
dc.titleParameter estimation and sensitivity analysis of Dysentery diarrhea epidemic modelen_ZA
dc.typeArticleen_ZA
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