Mathematical Analysis of a Discrete System Modeling COVID-19
COVID-19 is one of the worst pandemics ever; it is spreading rapidly and creating a health crisis around the world. This disease continues to seriously threaten human life and has caused more than 759 million infections and over 6.8 million deaths worldwide. In this work, we propose a discrete mathe...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-04-01
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| Series: | Computer Sciences & Mathematics Forum |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2813-0324/7/1/30 |
| _version_ | 1797381490256904192 |
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| author | Meriem El-Batoul Keddar Omar Belhamiti |
| author_facet | Meriem El-Batoul Keddar Omar Belhamiti |
| author_sort | Meriem El-Batoul Keddar |
| collection | DOAJ |
| description | COVID-19 is one of the worst pandemics ever; it is spreading rapidly and creating a health crisis around the world. This disease continues to seriously threaten human life and has caused more than 759 million infections and over 6.8 million deaths worldwide. In this work, we propose a discrete mathematical model of COVID-19 to predict the evolution of the dynamics of this pandemic. We calculate the basic reproduction number and the equilibrium points, and then perform the stability analysis theoretically and numerically. Finally, we conclude with local sensitivity analysis. |
| first_indexed | 2024-03-08T20:52:18Z |
| format | Article |
| id | doaj.art-f484d11bf489446a8d62de105fc78680 |
| institution | Directory Open Access Journal |
| issn | 2813-0324 |
| language | English |
| last_indexed | 2024-03-08T20:52:18Z |
| publishDate | 2023-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Computer Sciences & Mathematics Forum |
| spelling | doaj.art-f484d11bf489446a8d62de105fc786802023-12-22T14:02:07ZengMDPI AGComputer Sciences & Mathematics Forum2813-03242023-04-01713010.3390/IOCMA2023-14424Mathematical Analysis of a Discrete System Modeling COVID-19Meriem El-Batoul Keddar0Omar Belhamiti1Department of Mathematics, University of Mostaganem, Mostaganem 27000, AlgeriaDepartment of Mathematics, University of Mostaganem, Mostaganem 27000, AlgeriaCOVID-19 is one of the worst pandemics ever; it is spreading rapidly and creating a health crisis around the world. This disease continues to seriously threaten human life and has caused more than 759 million infections and over 6.8 million deaths worldwide. In this work, we propose a discrete mathematical model of COVID-19 to predict the evolution of the dynamics of this pandemic. We calculate the basic reproduction number and the equilibrium points, and then perform the stability analysis theoretically and numerically. Finally, we conclude with local sensitivity analysis.https://www.mdpi.com/2813-0324/7/1/30discrete systemmodeling in epidemiologyCOVID-19sensitivity analysisstability analysisthe basic reproduction number |
| spellingShingle | Meriem El-Batoul Keddar Omar Belhamiti Mathematical Analysis of a Discrete System Modeling COVID-19 Computer Sciences & Mathematics Forum discrete system modeling in epidemiology COVID-19 sensitivity analysis stability analysis the basic reproduction number |
| title | Mathematical Analysis of a Discrete System Modeling COVID-19 |
| title_full | Mathematical Analysis of a Discrete System Modeling COVID-19 |
| title_fullStr | Mathematical Analysis of a Discrete System Modeling COVID-19 |
| title_full_unstemmed | Mathematical Analysis of a Discrete System Modeling COVID-19 |
| title_short | Mathematical Analysis of a Discrete System Modeling COVID-19 |
| title_sort | mathematical analysis of a discrete system modeling covid 19 |
| topic | discrete system modeling in epidemiology COVID-19 sensitivity analysis stability analysis the basic reproduction number |
| url | https://www.mdpi.com/2813-0324/7/1/30 |
| work_keys_str_mv | AT meriemelbatoulkeddar mathematicalanalysisofadiscretesystemmodelingcovid19 AT omarbelhamiti mathematicalanalysisofadiscretesystemmodelingcovid19 |