A non-linear mathematical model for analysing the impact of COVID-19 disease on higher education in developing countries
This study proposes a non-linear mathematical model for analysing the effect of COVID-19 dynamics on the student population in higher education institutions. The theory of positivity and boundedness of solution is used to investigate the well-posedness of the model. The disease-free equilibrium solu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-11-01
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| Series: | Healthcare Analytics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2772442523000606 |
| _version_ | 1797796064751779840 |
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| author | A. Abidemi J.O. Akanni O.D. Makinde |
| author_facet | A. Abidemi J.O. Akanni O.D. Makinde |
| author_sort | A. Abidemi |
| collection | DOAJ |
| description | This study proposes a non-linear mathematical model for analysing the effect of COVID-19 dynamics on the student population in higher education institutions. The theory of positivity and boundedness of solution is used to investigate the well-posedness of the model. The disease-free equilibrium solution is examined analytically. The next-generation operator method calculates the basic reproduction number (R0). Sensitivity analyses are carried out to determine the relative importance of the model parameters in spreading COVID-19. In light of the sensitivity analysis results, the model is further extended to an optimal control problem by introducing four time-dependent control variables: personal protective measures, quarantine (or self-isolation), treatment, and management measures to mitigate the community spread of COVID-19 in the population. Simulations evaluate the effects of different combinations of the control variables in minimizing COVID-19 infection. Moreover, a cost-effectiveness analysis is conducted to ascertain the most effective and least expensive strategy for preventing and controlling the spread of COVID-19 with limited resources in the student population. |
| first_indexed | 2024-03-13T03:27:31Z |
| format | Article |
| id | doaj.art-9555b774cce9405cba49b880ea468c19 |
| institution | Directory Open Access Journal |
| issn | 2772-4425 |
| language | English |
| last_indexed | 2024-03-13T03:27:31Z |
| publishDate | 2023-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Healthcare Analytics |
| spelling | doaj.art-9555b774cce9405cba49b880ea468c192023-06-25T04:44:21ZengElsevierHealthcare Analytics2772-44252023-11-013100193A non-linear mathematical model for analysing the impact of COVID-19 disease on higher education in developing countriesA. Abidemi0J.O. Akanni1O.D. Makinde2Department of Mathematical Sciences, Federal University of Technology, Akure, Ondo State, NigeriaDepartment of Mathematical and Computing Sciences, Koladaisi University, Ibadan, Oyo State, Nigeria; Department of Mathematics, Universitas Airlangga, Kampus C Mulyorejo Surabaya 60115, Indonesia; Corresponding author at: Department of Mathematical and Computing Sciences, Koladaisi University, Ibadan, Oyo State, Nigeria.Faculty of Military Science, Stellenbosch University, South AfricaThis study proposes a non-linear mathematical model for analysing the effect of COVID-19 dynamics on the student population in higher education institutions. The theory of positivity and boundedness of solution is used to investigate the well-posedness of the model. The disease-free equilibrium solution is examined analytically. The next-generation operator method calculates the basic reproduction number (R0). Sensitivity analyses are carried out to determine the relative importance of the model parameters in spreading COVID-19. In light of the sensitivity analysis results, the model is further extended to an optimal control problem by introducing four time-dependent control variables: personal protective measures, quarantine (or self-isolation), treatment, and management measures to mitigate the community spread of COVID-19 in the population. Simulations evaluate the effects of different combinations of the control variables in minimizing COVID-19 infection. Moreover, a cost-effectiveness analysis is conducted to ascertain the most effective and least expensive strategy for preventing and controlling the spread of COVID-19 with limited resources in the student population.http://www.sciencedirect.com/science/article/pii/S2772442523000606Mathematical modellingCost-effectiveness analysisCOVID-19Optimal controlHigher educationSensitivity analysis |
| spellingShingle | A. Abidemi J.O. Akanni O.D. Makinde A non-linear mathematical model for analysing the impact of COVID-19 disease on higher education in developing countries Healthcare Analytics Mathematical modelling Cost-effectiveness analysis COVID-19 Optimal control Higher education Sensitivity analysis |
| title | A non-linear mathematical model for analysing the impact of COVID-19 disease on higher education in developing countries |
| title_full | A non-linear mathematical model for analysing the impact of COVID-19 disease on higher education in developing countries |
| title_fullStr | A non-linear mathematical model for analysing the impact of COVID-19 disease on higher education in developing countries |
| title_full_unstemmed | A non-linear mathematical model for analysing the impact of COVID-19 disease on higher education in developing countries |
| title_short | A non-linear mathematical model for analysing the impact of COVID-19 disease on higher education in developing countries |
| title_sort | non linear mathematical model for analysing the impact of covid 19 disease on higher education in developing countries |
| topic | Mathematical modelling Cost-effectiveness analysis COVID-19 Optimal control Higher education Sensitivity analysis |
| url | http://www.sciencedirect.com/science/article/pii/S2772442523000606 |
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