An epidemiological model for analysing pandemic trends of novel coronavirus transmission with optimal control
Symptomatic and asymptomatic individuals play a significant role in the transmission dynamics of novel Coronaviruses. By considering the dynamical behaviour of symptomatic and asymptomatic individuals, this study examines the temporal dynamics and optimal control of Coronavirus disease propagation u...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Journal of Biological Dynamics |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/17513758.2023.2299001 |
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| author | Tahir Khan Fathalla A. Rihan Qasem M. Al-Mdallal |
| author_facet | Tahir Khan Fathalla A. Rihan Qasem M. Al-Mdallal |
| author_sort | Tahir Khan |
| collection | DOAJ |
| description | Symptomatic and asymptomatic individuals play a significant role in the transmission dynamics of novel Coronaviruses. By considering the dynamical behaviour of symptomatic and asymptomatic individuals, this study examines the temporal dynamics and optimal control of Coronavirus disease propagation using an epidemiological model. Biologically and mathematically, the well-posed epidemic problem is examined, as well as the threshold quantity with parameter sensitivity. Model parameters are quantified and their relative impact on the disease is evaluated. Additionally, the steady states are investigated to determine the model's stability and bifurcation. Using the dynamics and parameters sensitivity, we then introduce optimal control strategies for the elimination of the disease. Using real disease data, numerical simulations and model validation are performed to support theoretical findings and show the effects of control strategies. |
| format | Article |
| id | doaj-art-50a1c26f931e41e98f305bd1221e07b5 |
| institution | Kabale University |
| issn | 1751-3758 1751-3766 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj-art-50a1c26f931e41e98f305bd1221e07b52024-12-09T08:03:23ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662024-12-0118110.1080/17513758.2023.2299001An epidemiological model for analysing pandemic trends of novel coronavirus transmission with optimal controlTahir Khan0Fathalla A. Rihan1Qasem M. Al-Mdallal2Department of Mathematical Sciences, College of Science, UAE University, Al-Ain, United Arab EmiratesDepartment of Mathematical Sciences, College of Science, UAE University, Al-Ain, United Arab EmiratesDepartment of Mathematical Sciences, College of Science, UAE University, Al-Ain, United Arab EmiratesSymptomatic and asymptomatic individuals play a significant role in the transmission dynamics of novel Coronaviruses. By considering the dynamical behaviour of symptomatic and asymptomatic individuals, this study examines the temporal dynamics and optimal control of Coronavirus disease propagation using an epidemiological model. Biologically and mathematically, the well-posed epidemic problem is examined, as well as the threshold quantity with parameter sensitivity. Model parameters are quantified and their relative impact on the disease is evaluated. Additionally, the steady states are investigated to determine the model's stability and bifurcation. Using the dynamics and parameters sensitivity, we then introduce optimal control strategies for the elimination of the disease. Using real disease data, numerical simulations and model validation are performed to support theoretical findings and show the effects of control strategies.https://www.tandfonline.com/doi/10.1080/17513758.2023.2299001Epidemiological modelSARS-CoV-2 virusbackward bifurcationcentre manifold theorysteady statessensitivity |
| spellingShingle | Tahir Khan Fathalla A. Rihan Qasem M. Al-Mdallal An epidemiological model for analysing pandemic trends of novel coronavirus transmission with optimal control Journal of Biological Dynamics Epidemiological model SARS-CoV-2 virus backward bifurcation centre manifold theory steady states sensitivity |
| title | An epidemiological model for analysing pandemic trends of novel coronavirus transmission with optimal control |
| title_full | An epidemiological model for analysing pandemic trends of novel coronavirus transmission with optimal control |
| title_fullStr | An epidemiological model for analysing pandemic trends of novel coronavirus transmission with optimal control |
| title_full_unstemmed | An epidemiological model for analysing pandemic trends of novel coronavirus transmission with optimal control |
| title_short | An epidemiological model for analysing pandemic trends of novel coronavirus transmission with optimal control |
| title_sort | epidemiological model for analysing pandemic trends of novel coronavirus transmission with optimal control |
| topic | Epidemiological model SARS-CoV-2 virus backward bifurcation centre manifold theory steady states sensitivity |
| url | https://www.tandfonline.com/doi/10.1080/17513758.2023.2299001 |
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