Analysis the Dynamics of SIHR Model: Covid-19 Case in Djibouti
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Date
2021-10-14
Journal Title
Journal ISSN
Volume Title
Publisher
Applied Mathematics,
Abstract
The 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.
Description
Keywords
Model Validation, Stability Analysis, Basic Reproduction Number, Covid-19, SIHR Model, Université de Djibouti, CoE_Djibouti, Djibouti, Engineering
Citation
Souleiman, 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.2021.1210057