Analysis of COVID-19 outbreak in Democratic Republic of the Congo using fractional operators
The spread of COVID-19 in the Democratic Republic of the Congo is investigated in this work using fractional operators. To model the spread of the current COVID-19 variant among different age groups, we employ the epidemic scenario in the Democratic Republic of the Congo as a case study. In this stu...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-09-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231309?viewType=HTML |
| _version_ | 1797674939999846400 |
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| author | Aqeel Ahmad Cicik Alfiniyah Ali Akgül Aeshah A. Raezah |
| author_facet | Aqeel Ahmad Cicik Alfiniyah Ali Akgül Aeshah A. Raezah |
| author_sort | Aqeel Ahmad |
| collection | DOAJ |
| description | The spread of COVID-19 in the Democratic Republic of the Congo is investigated in this work using fractional operators. To model the spread of the current COVID-19 variant among different age groups, we employ the epidemic scenario in the Democratic Republic of the Congo as a case study. In this study, the key characteristics of an epidemic problem such as COVID-19 are validated for existence and positivity, and unique solutions are demonstrated by applying certain findings from fixed-point theory. We also use the first derivative function to confirm the overall stability of the proposed system. The established methodology, which examines the impact of COVID-19 on various age groups, is highly sophisticated. Additionally, we use a method created by Atangana to solve the given model. This method stands as one of the most advanced approaches for addressing infectious problems; we also conduct an error analysis to identify and rectify any inaccuracies. Lastly, we assess the parameters to determine the effects of illness, and we provide numerical simulations implemented in MATLAB. These simulations illustrate the behavior of this infectious disease among various age groups in the Democratic Republic of the Congo. |
| first_indexed | 2024-03-11T22:07:27Z |
| format | Article |
| id | doaj.art-f3fbb17426234e88ac98ed400336ebde |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-11T22:07:27Z |
| publishDate | 2023-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-f3fbb17426234e88ac98ed400336ebde2023-09-25T01:44:01ZengAIMS PressAIMS Mathematics2473-69882023-09-01811256542568710.3934/math.20231309Analysis of COVID-19 outbreak in Democratic Republic of the Congo using fractional operatorsAqeel Ahmad 0Cicik Alfiniyah 1Ali Akgül 2Aeshah A. Raezah31. Department of Mathematics, Ghazi University D G Khan 32200, Pakistan 2. Department of Mathematics, Faculty of Science and Technology, Universitas Airlangga, Indonesia2. Department of Mathematics, Faculty of Science and Technology, Universitas Airlangga, Indonesia3. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon 4. Art and Science Faculty, Department of Mathematics, Siirt 56100, Turkey 5. Mathematics Research Center, Department of Mathematics, Near East Boulevard, 99138, Nicosia /Mersin 10, Turkey6. Department of Mathematics, Faculty of Science, King Khalid University, Abha 62529, Saudi ArabiaThe spread of COVID-19 in the Democratic Republic of the Congo is investigated in this work using fractional operators. To model the spread of the current COVID-19 variant among different age groups, we employ the epidemic scenario in the Democratic Republic of the Congo as a case study. In this study, the key characteristics of an epidemic problem such as COVID-19 are validated for existence and positivity, and unique solutions are demonstrated by applying certain findings from fixed-point theory. We also use the first derivative function to confirm the overall stability of the proposed system. The established methodology, which examines the impact of COVID-19 on various age groups, is highly sophisticated. Additionally, we use a method created by Atangana to solve the given model. This method stands as one of the most advanced approaches for addressing infectious problems; we also conduct an error analysis to identify and rectify any inaccuracies. Lastly, we assess the parameters to determine the effects of illness, and we provide numerical simulations implemented in MATLAB. These simulations illustrate the behavior of this infectious disease among various age groups in the Democratic Republic of the Congo.https://www.aimspress.com/article/doi/10.3934/math.20231309?viewType=HTMLboundednessglobal stabilityuniquenesspositivitymittag-leffler |
| spellingShingle | Aqeel Ahmad Cicik Alfiniyah Ali Akgül Aeshah A. Raezah Analysis of COVID-19 outbreak in Democratic Republic of the Congo using fractional operators AIMS Mathematics boundedness global stability uniqueness positivity mittag-leffler |
| title | Analysis of COVID-19 outbreak in Democratic Republic of the Congo using fractional operators |
| title_full | Analysis of COVID-19 outbreak in Democratic Republic of the Congo using fractional operators |
| title_fullStr | Analysis of COVID-19 outbreak in Democratic Republic of the Congo using fractional operators |
| title_full_unstemmed | Analysis of COVID-19 outbreak in Democratic Republic of the Congo using fractional operators |
| title_short | Analysis of COVID-19 outbreak in Democratic Republic of the Congo using fractional operators |
| title_sort | analysis of covid 19 outbreak in democratic republic of the congo using fractional operators |
| topic | boundedness global stability uniqueness positivity mittag-leffler |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231309?viewType=HTML |
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