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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Published in:Journal of applied mathematics 2022-07, Vol.2022, p.1-14
Main Authors: Khajji, Bouchaib, Boujallal, Lahoucine, Balatif, Omar, Rachik, Mostafa
Format: Article
Language:English
Subjects:
Analysis
Coronaviruses
COVID-19
Diagnosis
Disease control
Disease prevention
Disease transmission
Epidemics
Hospitalization
Infections
Investigations
Mathematical analysis
Mathematical models
Mutation
Numerical analysis
Optimal control
Optimization
Pandemics
Population
Quarantine
Severe acute respiratory syndrome coronavirus 2
Surveillance
Viral diseases
Viruses
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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.
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subjects Analysis
Coronaviruses
COVID-19
Diagnosis
Disease control
Disease prevention
Disease transmission
Epidemics
Hospitalization
Infections
Investigations
Mathematical analysis
Mathematical models
Mutation
Numerical analysis
Optimal control
Optimization
Pandemics
Population
Quarantine
Severe acute respiratory syndrome coronavirus 2
Surveillance
Viral diseases
Viruses
title Mathematical Modelling and Optimal Control Strategies of a Multistrain COVID-19 Spread
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