Finite-Time Stability of Time-Delay Dynamical System for the Outbreak of COVID-19
In this study, the finite-time stability of the time-delay system representing the COVID-19 outbreak is analyzed. The infection dynamics is stated with the new kernel function to express the distribution of exposed people in the model. A history-wise Lyapunov functional is used to show the finite-ti...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Tokat Gaziosmanpasa University
2020-12-01
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| Series: | Journal of New Results in Science |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/1434353 |
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| Summary: | In this study, the finite-time stability of the time-delay system representing the COVID-19 outbreak is analyzed. The infection dynamics is stated with the new kernel function to express the distribution of exposed people in the model. A history-wise Lyapunov functional is used to show the finite-time stability of the proposed system. A condition in terms of linear matrix inequalities is given to ensure finite-time stability. With this condition, it is guaranteed that the norm of the variables which are infected, confirmed, isolated and cured/recovered people do not exceed a certain bound in a fixed finite time interval. The solution of the generalized minimum/maximum parameters is explained and a numerical example is demonstrated to show the validity of the proposed method. |
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| ISSN: | 1304-7981 |