Mathematical Modelling and Optimal Control Strategies of a Multistrain COVID-19 Spread
In this paper, we propose a continuous mathematical model that describes the spread of multistrains COVID-19 virus among humans: susceptible, exposed, infected, quarantined, hospitalized, and recovered individuals. The positivity and boundedness of the system solution are provided in order to get th...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/9071890 |
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| _version_ | 1832558334714052608 |
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| author | Bouchaib Khajji Lahoucine Boujallal Omar Balatif Mostafa Rachik |
| author_facet | Bouchaib Khajji Lahoucine Boujallal Omar Balatif Mostafa Rachik |
| author_sort | Bouchaib Khajji |
| collection | DOAJ |
| description | In this paper, we propose a continuous mathematical model that describes the spread of multistrains COVID-19 virus among humans: susceptible, exposed, infected, quarantined, hospitalized, and recovered individuals. The positivity and boundedness of the system solution are provided in order to get the well posedness of the proposed model. Secondly, three controls are considered in our model to minimize the multistrain spread of the disease, namely, vaccination, security campaigns, social distancing measures, and diagnosis. Furthermore, the optimal control problem and related optimality conditions of the Pontryagin type are discussed with the objective to minimize the number of infected individuals. Finally, numerical simulations are performed in the case of two strains of COVID-19 and with four control strategies. By using the incremental cost-effectiveness ratio (ICER) method, we show that combining vaccination with diagnosis provides the most cost-effective strategy. |
| format | Article |
| id | doaj-art-a692d31af1e846f28ba9ab27e0c2cb24 |
| institution | Kabale University |
| issn | 1687-0042 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a692d31af1e846f28ba9ab27e0c2cb242025-02-03T01:32:41ZengWileyJournal of Applied Mathematics1687-00422022-01-01202210.1155/2022/9071890Mathematical Modelling and Optimal Control Strategies of a Multistrain COVID-19 SpreadBouchaib Khajji0Lahoucine Boujallal1Omar Balatif2Mostafa Rachik3AMS LaboratoryLMFA LaboratoryDS LaboratoryAMS LaboratoryIn this paper, we propose a continuous mathematical model that describes the spread of multistrains COVID-19 virus among humans: susceptible, exposed, infected, quarantined, hospitalized, and recovered individuals. The positivity and boundedness of the system solution are provided in order to get the well posedness of the proposed model. Secondly, three controls are considered in our model to minimize the multistrain spread of the disease, namely, vaccination, security campaigns, social distancing measures, and diagnosis. Furthermore, the optimal control problem and related optimality conditions of the Pontryagin type are discussed with the objective to minimize the number of infected individuals. Finally, numerical simulations are performed in the case of two strains of COVID-19 and with four control strategies. By using the incremental cost-effectiveness ratio (ICER) method, we show that combining vaccination with diagnosis provides the most cost-effective strategy.http://dx.doi.org/10.1155/2022/9071890 |
| spellingShingle | Bouchaib Khajji Lahoucine Boujallal Omar Balatif Mostafa Rachik Mathematical Modelling and Optimal Control Strategies of a Multistrain COVID-19 Spread Journal of Applied Mathematics |
| title | Mathematical Modelling and Optimal Control Strategies of a Multistrain COVID-19 Spread |
| title_full | Mathematical Modelling and Optimal Control Strategies of a Multistrain COVID-19 Spread |
| title_fullStr | Mathematical Modelling and Optimal Control Strategies of a Multistrain COVID-19 Spread |
| title_full_unstemmed | Mathematical Modelling and Optimal Control Strategies of a Multistrain COVID-19 Spread |
| title_short | Mathematical Modelling and Optimal Control Strategies of a Multistrain COVID-19 Spread |
| title_sort | mathematical modelling and optimal control strategies of a multistrain covid 19 spread |
| url | http://dx.doi.org/10.1155/2022/9071890 |
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