Travelling Wave Analysis of a Diffusive COVID-19 Model
In this paper, a mathematical model based on a system of nonlinear parabolic partial differential equations is developed to investigate the effect of human mobility on the dynamics of coronavirus 2019 (COVID-19) disease. Positivity and boundedness of the model solutions are shown. The existence of t...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/6052274 |
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| _version_ | 1850168966524174336 |
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| author | C. M. Wachira G. O. Lawi L. O. Omondi |
| author_facet | C. M. Wachira G. O. Lawi L. O. Omondi |
| author_sort | C. M. Wachira |
| collection | DOAJ |
| description | In this paper, a mathematical model based on a system of nonlinear parabolic partial differential equations is developed to investigate the effect of human mobility on the dynamics of coronavirus 2019 (COVID-19) disease. Positivity and boundedness of the model solutions are shown. The existence of the disease-free, the endemic equilibria, and the travelling wave solutions of the model are shown. From the numerical analysis, it is shown that human mobility plays a crucial role in the disease transmission. Therefore, interventions that affect diffusion (human mobility), such as lock-down, travel restrictions, and cessation of movement, may play a significant role in controlling and preventing the spread of COVID-19. |
| format | Article |
| id | doaj-art-a0339d2ef40f4d13a6a426e3922b6401 |
| institution | OA Journals |
| issn | 1687-0042 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a0339d2ef40f4d13a6a426e3922b64012025-08-20T02:20:51ZengWileyJournal of Applied Mathematics1687-00422022-01-01202210.1155/2022/6052274Travelling Wave Analysis of a Diffusive COVID-19 ModelC. M. Wachira0G. O. Lawi1L. O. Omondi2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, a mathematical model based on a system of nonlinear parabolic partial differential equations is developed to investigate the effect of human mobility on the dynamics of coronavirus 2019 (COVID-19) disease. Positivity and boundedness of the model solutions are shown. The existence of the disease-free, the endemic equilibria, and the travelling wave solutions of the model are shown. From the numerical analysis, it is shown that human mobility plays a crucial role in the disease transmission. Therefore, interventions that affect diffusion (human mobility), such as lock-down, travel restrictions, and cessation of movement, may play a significant role in controlling and preventing the spread of COVID-19.http://dx.doi.org/10.1155/2022/6052274 |
| spellingShingle | C. M. Wachira G. O. Lawi L. O. Omondi Travelling Wave Analysis of a Diffusive COVID-19 Model Journal of Applied Mathematics |
| title | Travelling Wave Analysis of a Diffusive COVID-19 Model |
| title_full | Travelling Wave Analysis of a Diffusive COVID-19 Model |
| title_fullStr | Travelling Wave Analysis of a Diffusive COVID-19 Model |
| title_full_unstemmed | Travelling Wave Analysis of a Diffusive COVID-19 Model |
| title_short | Travelling Wave Analysis of a Diffusive COVID-19 Model |
| title_sort | travelling wave analysis of a diffusive covid 19 model |
| url | http://dx.doi.org/10.1155/2022/6052274 |
| work_keys_str_mv | AT cmwachira travellingwaveanalysisofadiffusivecovid19model AT golawi travellingwaveanalysisofadiffusivecovid19model AT loomondi travellingwaveanalysisofadiffusivecovid19model |