Abstract
In this paper, we develop a compartmental model of the COVID-19 epidemic in Burkina Faso by taking into account the compartments of hospitalized, severely hospitalized patients and dead persons. The model exhibits the traditional threshold behavior. We prove that when the basic reproduction number is less than one, the disease-free equilibrium is locally asymptotically stable. We use real data from Burkina Faso National Health Commission against COVID-19 to predict the dynamic of the disease and also the cumulative number of reported cases. We use public policies in our model in order to reduce the contact rate, and thereby to show how the reduction of daily reported infectious cases evolves with a view to assisting decision makers for a rapid treatment of the reported cases.
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References
B. Ivorra, M. R. Ferrández, M. Vela-Pérez, A. M. Ramos; Mathematical modeling of the spread of the coronavirus disease 2019 (COVID-19) considering its particular characteristics. The case of China; Preprint, March 2020.
A. Guiro, B. Koné and S. Ouaro; Mathematical model of the spread of the coronavirus disease 2019 (COVID-19) in Burkina Faso. Applied Mathematics, 2020, 11, 1204-1218. https://www.scirp.org/journal/am.
Q.Y. Lin, S. Zhao, D. Z. Gao, et coll; (2020) A conceptual model for the coronavirus disease 2019 (COVID-19) outbreak in Wuhan, China with individual reaction and governmental action.Int. J. Infect. Dis. 93 :211–216.
Z. Liu, P. Magal, O. Seydi and G. Webb; Predicting the cumulative number of cases for the COVID-19 epidemic in China from early data, medRxiv preprint, available under a CC-BY-NC-ND 4.0 International license.
Z. Liu, P. Magal, O. Seydi and G. Webb; Understanding Unreported Cases in the COVID-19 Epidemic Outbreak in Wuhan, China, and the Importance of Major Public Health Interventions, Biology 2020, 9, 50; https://doi.org/10.3390/biology9030050.
European Centre for Disease Prevention and Control. Discharge criteria for confirmed COVID-19 cases When is it safe to discharge COVID-19 cases from the hospital or end home isolation, https://www.ecdc.europa.eu/sites/default/files/documents/COVID-19-Discharge-criteria.pdf, March 2020.
Johns Hopkins University (JHU). Coronavirus COVID-19 Global Cases by the Center for Systems Scienceand Engineering (CSSE). https://gisanddata.maps.arcgis.com/apps/opsdashboard/index.html/bda7594740fd40299423467b48e9ecf6, March 2020.
R. Li, S. Pei, B. Chen, Y. Song, T. Zhang, W. Yang, and J. Shaman; Substantial undocumented infection facilitates the rapid dissemination of novel coronavirus (SARS-CoV2). Science, 2020.
X. Yang, L. Chen, and J. Chen; Permanence and positive periodic solution for the single-species nonautonomous delay diffusive models. Computers & Mathematics with Applications, 32(4):109116, 1996.
P. Van den Driesche and J. Watmough; “Reproduction Numbers and Substhreshold Endemic Equilibria for the Compartmental Models of Disease Transmission”, Mathematical Biosciences, Vol. 180, No. 1–2, 2002, pp. 29–48.
B. Ivorra, A. M. Ramos, and D. Ngom; Be-CoDiS: A mathematical model to predict the risk of human diseases spread between countries. Validation and application to the 2014 Ebola Virus Disease epidemic. Bulletin of Mathematical Biology, 77(9): 1668–1704, 2015.
T. Liu, J. Hu, M. Kang, L. Lin, H. Zhong, J. Xiao, and et al.; Transmission dynamics of 2019 novel coronavirus (2019-ncov). bioRxiv, 2020.
World Health Organization. Report of the WHO-China Joint Mission on Coronavirus Disease 2019. https://www.who.int/docs/default-source/coronaviruse/who-china-joint-mission-on-covid-19-final-report.pdf, February 2020.
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Appendix A. Tables of Data
Appendix A. Tables of Data
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Guiro, A., Koné, B., Ouaro, S. (2021). Mathematical Modelling of the Evolution Dynamics of the Coronavirus Disease 2019 (COVID-19) in Burkina Faso. In: Toni, B. (eds) The Mathematics of Patterns, Symmetries, and Beauties in Nature. STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health. Springer, Cham. https://doi.org/10.1007/978-3-030-84596-4_6
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