Analysis the Dynamics of SIHR Model: Covid-19 Case in Djibouti

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dc.contributor.authorSouleiman, Yahyeh
dc.contributor.authorMohamed, Abdoulrazack
dc.contributor.authorIsmail, Liban
dc.date.accessioned2023-08-14T18:00:44Z
dc.date.available2023-08-14T18:00:44Z
dc.date.issued2021-10-14
dc.description.abstractThe Covid-19 epidemic is an emerging infectious disease of the viral zoonosis type caused by the coronavirus strain SARS-CoV-2, it is classified as a human-to-human communicable disease and is currently a pandemic worldwide. In this paper, we propose conceptual mathematical models of the epidemic dynamics of four compartments. We have collected data from the Djibouti health ministry. We study the positivity, boundedness, existence and uniqueness of the weak solution. Next, we define the Basic reproduction number by the method of the DFE and EEP. Then, we study the local and global stability and the bifurcation analysis of equilibrium to examine its epidemiological relevance. Finally, we analyze the fit of the data in comparison with the result of our mathematical results, to validate the model and estimate the important model parameters and prediction about the disease. We consider the real cases of Djibouti from 15th March to 15th May 2021.en_US
dc.description.sponsorshipCoE_Djiboutien_US
dc.identifier.citationSouleiman, Y., Mohamed, A. and Ismail, L. (2021) Analysis the Dynamics of SIHR Model: Covid-19 Case in Djibouti. Applied Mathematics, 12, 867-881. https://doi.org/10.4236/am.2021.1210057en_US
dc.identifier.issn2152-7385
dc.identifier.urihttp://hdl.handle.net/123456789/2035
dc.language.isoenen_US
dc.publisherApplied Mathematics,en_US
dc.relation.ispartofseriesApplied Mathematics,;12
dc.subjectModel Validationen_US
dc.subjectStability Analysisen_US
dc.subjectBasic Reproduction Numberen_US
dc.subjectCovid-19en_US
dc.subjectSIHR Modelen_US
dc.subjectUniversité de Djiboutien_US
dc.subjectCoE_Djiboutien_US
dc.subjectDjiboutien_US
dc.subjectEngineeringen_US
dc.titleAnalysis the Dynamics of SIHR Model: Covid-19 Case in Djiboutien_US
dc.typeArticleen_US
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