A fractional-order mathematical model for examining the spatiotemporal spread of COVID-19 in the presence of vaccine distribution
The spatiotemporal spread of COVID-19 has had a great impact on understanding and addressing the global pandemic. Through analysis of the geographical distribution and temporal patterns of the virus, the hotspot of the virus can be easily detected, giving insights into where intervention is most nee...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-12-01
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| Series: | Healthcare Analytics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2772442523000977 |
| _version_ | 1797770756856217600 |
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| author | Adedapo Ismaila Alaje Morufu Oyedunsi Olayiwola |
| author_facet | Adedapo Ismaila Alaje Morufu Oyedunsi Olayiwola |
| author_sort | Adedapo Ismaila Alaje |
| collection | DOAJ |
| description | The spatiotemporal spread of COVID-19 has had a great impact on understanding and addressing the global pandemic. Through analysis of the geographical distribution and temporal patterns of the virus, the hotspot of the virus can be easily detected, giving insights into where intervention is most needed. In this study, an efficient method is presented for solving a fractional-order diffusive epidemic model of COVID-19 that incorporates vaccination and is applied to study the spatiotemporal spread of the disease. The method’s convergence is discussed, and the results are found to be applicable and efficient for numerical simulations. The proposed mathematical model is analyzed for its positivity, existence, and uniqueness of solution to demonstrate its feasibility to study physical problems, and a series of numerical simulations are conducted to analyze the spatiotemporal dynamics of COVID-19 in response to vaccine uptake and distribution modeled using the Caputo fractional order derivative. The impact of vaccine uptake and distribution is extensively discussed, and conclusions are drawn. |
| first_indexed | 2024-03-12T21:27:53Z |
| format | Article |
| id | doaj.art-ab26fa7d4b5040e38e909af65d33acf7 |
| institution | Directory Open Access Journal |
| issn | 2772-4425 |
| language | English |
| last_indexed | 2024-03-12T21:27:53Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Healthcare Analytics |
| spelling | doaj.art-ab26fa7d4b5040e38e909af65d33acf72023-07-28T04:27:00ZengElsevierHealthcare Analytics2772-44252023-12-014100230A fractional-order mathematical model for examining the spatiotemporal spread of COVID-19 in the presence of vaccine distributionAdedapo Ismaila Alaje0Morufu Oyedunsi Olayiwola1Department of Mathematical Sciences, Osun State University, Osogbo, NigeriaCorresponding author.; Department of Mathematical Sciences, Osun State University, Osogbo, NigeriaThe spatiotemporal spread of COVID-19 has had a great impact on understanding and addressing the global pandemic. Through analysis of the geographical distribution and temporal patterns of the virus, the hotspot of the virus can be easily detected, giving insights into where intervention is most needed. In this study, an efficient method is presented for solving a fractional-order diffusive epidemic model of COVID-19 that incorporates vaccination and is applied to study the spatiotemporal spread of the disease. The method’s convergence is discussed, and the results are found to be applicable and efficient for numerical simulations. The proposed mathematical model is analyzed for its positivity, existence, and uniqueness of solution to demonstrate its feasibility to study physical problems, and a series of numerical simulations are conducted to analyze the spatiotemporal dynamics of COVID-19 in response to vaccine uptake and distribution modeled using the Caputo fractional order derivative. The impact of vaccine uptake and distribution is extensively discussed, and conclusions are drawn.http://www.sciencedirect.com/science/article/pii/S2772442523000977Fractional-order mathematical modelSimulationModified homotopy perturbation methodDiffusive epidemic modelCOVID-19Vaccination |
| spellingShingle | Adedapo Ismaila Alaje Morufu Oyedunsi Olayiwola A fractional-order mathematical model for examining the spatiotemporal spread of COVID-19 in the presence of vaccine distribution Healthcare Analytics Fractional-order mathematical model Simulation Modified homotopy perturbation method Diffusive epidemic model COVID-19 Vaccination |
| title | A fractional-order mathematical model for examining the spatiotemporal spread of COVID-19 in the presence of vaccine distribution |
| title_full | A fractional-order mathematical model for examining the spatiotemporal spread of COVID-19 in the presence of vaccine distribution |
| title_fullStr | A fractional-order mathematical model for examining the spatiotemporal spread of COVID-19 in the presence of vaccine distribution |
| title_full_unstemmed | A fractional-order mathematical model for examining the spatiotemporal spread of COVID-19 in the presence of vaccine distribution |
| title_short | A fractional-order mathematical model for examining the spatiotemporal spread of COVID-19 in the presence of vaccine distribution |
| title_sort | fractional order mathematical model for examining the spatiotemporal spread of covid 19 in the presence of vaccine distribution |
| topic | Fractional-order mathematical model Simulation Modified homotopy perturbation method Diffusive epidemic model COVID-19 Vaccination |
| url | http://www.sciencedirect.com/science/article/pii/S2772442523000977 |
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