Optimal Strategies for Control of COVID-19: A Mathematical Perspective
A deterministic ordinary differential equation model for SARS-CoV-2 is developed and analysed, taking into account the role of exposed, mildly symptomatic, and severely symptomatic persons in the spread of the disease. It is shown that in the absence of infective immigrants, the model has a locally...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Scientifica |
| Online Access: | http://dx.doi.org/10.1155/2020/4676274 |
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| author | Baba Seidu |
| author_facet | Baba Seidu |
| author_sort | Baba Seidu |
| collection | DOAJ |
| description | A deterministic ordinary differential equation model for SARS-CoV-2 is developed and analysed, taking into account the role of exposed, mildly symptomatic, and severely symptomatic persons in the spread of the disease. It is shown that in the absence of infective immigrants, the model has a locally asymptotically stable disease-free equilibrium whenever the basic reproduction number is below unity. In the absence of immigration of infective persons, the disease can be eradicated whenever ℛ0<1. Specifically, if the controls ui, i=1,2,3,4, are implemented to 100% efficiency, the disease dies away easily. It is shown that border closure (or at least screening) is indispensable in the fight against the spread of SARS-CoV-2. Simulation of optimal control of the model suggests that the most cost-effective strategy to combat SARS-CoV-2 is to reduce contact through use of nose masks and physical distancing. |
| format | Article |
| id | doaj-art-9d1d9c4f873f4484951cb93bf1a42106 |
| institution | Kabale University |
| issn | 2090-908X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Scientifica |
| spelling | doaj-art-9d1d9c4f873f4484951cb93bf1a421062025-02-03T06:46:47ZengWileyScientifica2090-908X2020-01-01202010.1155/2020/46762744676274Optimal Strategies for Control of COVID-19: A Mathematical PerspectiveBaba Seidu0Department of Mathematics, Faculty of Mathematical Sciences, C. K. Tedam University of Technology and Applied Sciences, Navrongo, GhanaA deterministic ordinary differential equation model for SARS-CoV-2 is developed and analysed, taking into account the role of exposed, mildly symptomatic, and severely symptomatic persons in the spread of the disease. It is shown that in the absence of infective immigrants, the model has a locally asymptotically stable disease-free equilibrium whenever the basic reproduction number is below unity. In the absence of immigration of infective persons, the disease can be eradicated whenever ℛ0<1. Specifically, if the controls ui, i=1,2,3,4, are implemented to 100% efficiency, the disease dies away easily. It is shown that border closure (or at least screening) is indispensable in the fight against the spread of SARS-CoV-2. Simulation of optimal control of the model suggests that the most cost-effective strategy to combat SARS-CoV-2 is to reduce contact through use of nose masks and physical distancing.http://dx.doi.org/10.1155/2020/4676274 |
| spellingShingle | Baba Seidu Optimal Strategies for Control of COVID-19: A Mathematical Perspective Scientifica |
| title | Optimal Strategies for Control of COVID-19: A Mathematical Perspective |
| title_full | Optimal Strategies for Control of COVID-19: A Mathematical Perspective |
| title_fullStr | Optimal Strategies for Control of COVID-19: A Mathematical Perspective |
| title_full_unstemmed | Optimal Strategies for Control of COVID-19: A Mathematical Perspective |
| title_short | Optimal Strategies for Control of COVID-19: A Mathematical Perspective |
| title_sort | optimal strategies for control of covid 19 a mathematical perspective |
| url | http://dx.doi.org/10.1155/2020/4676274 |
| work_keys_str_mv | AT babaseidu optimalstrategiesforcontrolofcovid19amathematicalperspective |