Mathematical analysis of the transmission dynamics of COVID-19 infection in the presence of intervention strategies
The novel Coronavirus (COVID-19) infection has become a global public health issue, and it has been a cause for morbidity and mortality of more people throughout the world. In this paper, we investigated the impacts of vaccination, other protection measures, home quarantine with treatment, and hospi...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2022-12-01
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| Series: | Journal of Biological Dynamics |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/17513758.2022.2111469 |
| _version_ | 1811320506914177024 |
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| author | Shewafera Wondimagegnhu Teklu |
| author_facet | Shewafera Wondimagegnhu Teklu |
| author_sort | Shewafera Wondimagegnhu Teklu |
| collection | DOAJ |
| description | The novel Coronavirus (COVID-19) infection has become a global public health issue, and it has been a cause for morbidity and mortality of more people throughout the world. In this paper, we investigated the impacts of vaccination, other protection measures, home quarantine with treatment, and hospital quarantine with treatment strategies simultaneously using a deterministic mathematical modelling approach. No one has considered these intervention strategies simultaneously in his/her modelling approach. We examined all the qualitative properties of the model such as the positivity and boundedness of the model solutions, the disease-free and endemic equilibrium points, the effective reproduction number using next-generation matrix method, local stabilities of equilibrium points using the Routh–Hurwitz method. Using the Centre Manifold criteria, we have shown the existence of backward bifurcation whenever the COVID-19 effective reproduction number is less than unity. Moreover, we have analysed both sensitivity and numerical simulation using parameter values taken from published literature. The numerical results show that the transmission rate is the most sensitive parameter we have to control. Also vaccination, other protection measures, home quarantine with treatment, and hospital quarantine with treatment have great effects to minimize the COVID-19 transmission in the community. |
| first_indexed | 2024-04-13T13:00:41Z |
| format | Article |
| id | doaj.art-8cba12f89d144a5282526ac56d4f10f4 |
| institution | Directory Open Access Journal |
| issn | 1751-3758 1751-3766 |
| language | English |
| last_indexed | 2024-04-13T13:00:41Z |
| publishDate | 2022-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj.art-8cba12f89d144a5282526ac56d4f10f42022-12-22T02:45:56ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662022-12-0116164066410.1080/17513758.2022.2111469Mathematical analysis of the transmission dynamics of COVID-19 infection in the presence of intervention strategiesShewafera Wondimagegnhu Teklu0Department of Mathematics, Natural Science, Debre Berhan University, Debre Berhan, EthiopiaThe novel Coronavirus (COVID-19) infection has become a global public health issue, and it has been a cause for morbidity and mortality of more people throughout the world. In this paper, we investigated the impacts of vaccination, other protection measures, home quarantine with treatment, and hospital quarantine with treatment strategies simultaneously using a deterministic mathematical modelling approach. No one has considered these intervention strategies simultaneously in his/her modelling approach. We examined all the qualitative properties of the model such as the positivity and boundedness of the model solutions, the disease-free and endemic equilibrium points, the effective reproduction number using next-generation matrix method, local stabilities of equilibrium points using the Routh–Hurwitz method. Using the Centre Manifold criteria, we have shown the existence of backward bifurcation whenever the COVID-19 effective reproduction number is less than unity. Moreover, we have analysed both sensitivity and numerical simulation using parameter values taken from published literature. The numerical results show that the transmission rate is the most sensitive parameter we have to control. Also vaccination, other protection measures, home quarantine with treatment, and hospital quarantine with treatment have great effects to minimize the COVID-19 transmission in the community.https://www.tandfonline.com/doi/10.1080/17513758.2022.2111469COVID-19protectionvaccinationtreatmentbifurcation analysis |
| spellingShingle | Shewafera Wondimagegnhu Teklu Mathematical analysis of the transmission dynamics of COVID-19 infection in the presence of intervention strategies Journal of Biological Dynamics COVID-19 protection vaccination treatment bifurcation analysis |
| title | Mathematical analysis of the transmission dynamics of COVID-19 infection in the presence of intervention strategies |
| title_full | Mathematical analysis of the transmission dynamics of COVID-19 infection in the presence of intervention strategies |
| title_fullStr | Mathematical analysis of the transmission dynamics of COVID-19 infection in the presence of intervention strategies |
| title_full_unstemmed | Mathematical analysis of the transmission dynamics of COVID-19 infection in the presence of intervention strategies |
| title_short | Mathematical analysis of the transmission dynamics of COVID-19 infection in the presence of intervention strategies |
| title_sort | mathematical analysis of the transmission dynamics of covid 19 infection in the presence of intervention strategies |
| topic | COVID-19 protection vaccination treatment bifurcation analysis |
| url | https://www.tandfonline.com/doi/10.1080/17513758.2022.2111469 |
| work_keys_str_mv | AT shewaferawondimagegnhuteklu mathematicalanalysisofthetransmissiondynamicsofcovid19infectioninthepresenceofinterventionstrategies |