Abstract
COVID-19 is the disease caused by the SARS-CoV-2 coronavirus. Globally, as of 6:32pm CEST, 19 September 2023, there have been 772 838 745 confirmed cases of COVID-19, including 6 988 679 deaths, reported to WHO. The number of confirmed cases still are being seen. In this paper, we present a prediction model baased on Ordinary Differential Equations. The prediction model takes the help fom the susceptible-exposed-infected-recovered (SEIR) family of compartmental models. The SEIR is a type of epidemiological models. In this paper we also focus on the reinfection rate among the people from the virus SARS-CoV-2 after they have recovered.
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References
Brauer, F.: Mathematical epidemiology: past, present, and future. Infect. Dis. Modell. 2(2), 113–127 (2017). https://doi.org/10.1016/j.idm.2017.02.001, http://www.sciencedirect.com/science/article/pii/S2468042716300367
Feng, Z., Xu, D., Zhao, H.: Epidemiological models with non-exponentially distributed disease stages and applications to disease control. Bull. Math. Biol. 69(5), 1511–1536 (2007)
Grassly, N.C., Fraser, C.: Mathematical models of infectious disease transmission. Nat. Rev. Microbiol. 6(6), 477–487 (2008)
Hethcote, H.W.: The basic epidemiology models: models, expressions for R0, parameter estimation, and applications. In: Mathematical Understanding of Infectious Disease Dynamics, World Scientific, pp. 1–61 (2009)
Kermack, W.O., McKendrick, A.G.: A contribution to the mathematical theory of epidemics. Proc. Royal Soc. London Ser. A Contain. Pap. Math. Phys. Char. 115(772), 700–721 (1927)
Sameni, R.: Mathematical modeling of epidemic diseases; a case study of the COVID-19 coronavirus. arXiv preprint arXiv:2003.11371
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Prasad Mahato, D., Rani, R. (2024). Mathematical Modelling of COVID-19 Using ODEs. In: Barolli, L. (eds) Advanced Information Networking and Applications. AINA 2024. Lecture Notes on Data Engineering and Communications Technologies, vol 204. Springer, Cham. https://doi.org/10.1007/978-3-031-57942-4_16
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DOI: https://doi.org/10.1007/978-3-031-57942-4_16
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