Article
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Pandemic and the Dynamics of SEIR Model: Case COVID-19
Version 1
: Received: 20 April 2020 / Approved: 21 April 2020 / Online: 21 April 2020 (08:11:52 CEST)
A peer-reviewed article of this Preprint also exists.
Kamrujjaman, M., Saha, P., Islam, M. S., & Ghosh, U. (2022). Dynamics of SEIR model: A case study of COVID-19 in Italy. Results in Control and Optimization, 7, 100119. Kamrujjaman, M., Saha, P., Islam, M. S., & Ghosh, U. (2022). Dynamics of SEIR model: A case study of COVID-19 in Italy. Results in Control and Optimization, 7, 100119.
Abstract
Rapidly spreading disease, COVID-19 is classified as the human-to-human transmission-able disease and currently is a pandemic in the Globe. In this paper, we propose conceptual mathematical models for COVID-19 outbreak and it's control measurement; quarantine, hospitalization and the effect of panic and anxiety. In this situation, mathematical models are a important tool to employ an effective strategy in order to fight against this pandemic. We establish the positivity and boundedness of solutions, local and global stability analysis of equilibria to examine its epidemiological relevance. To validate the model and estimating the important model parameters and prediction about the disease, we consider the real cases of Italy from $15^{th}$ Feb to $13^{th} $ April 2020. In a series of graphical map, we have presented the comparative study to estimate the current scenarios and to predict the control measurement time boundary of the outbreak.
Keywords
coronavirus; SEIR model; stability analysis; COVID-19; numerical analysis
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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