Mathematical assessment of constant and time-dependent control measures on the dynamics of the novel coronavirus: An application of optimal control theory

A Pontryagin’s maximum principle and optimal control model with cost-effectiveness analysis of the COVID-19 epidemic

“…The authors in [17] have presented a mathematical model to investigate the impact of testing and compliance with isolation on the spread of COVID-19. The utilization of the optimal control is also employed on the dynamics of infections, (see for example, [18] , [19] , [20] , [21] , [22] , [23] , [24] ). Khan et al.…”

Co-dynamics of COVID-19 and TB with COVID-19 vaccination and exogenous reinfection for TB: An optimal control application

“…Mathematical modeling has become the powerful tool for studying the behaviour of infectious diseases ( Egonmwan & Okuonghae, 2019 ; Omame, Okuonghae, Umana, & Inyama, 2020 ; Omame, Okuonghae, Nwafor, & Odionyenma, 2021 ). Different mathematical modeling of COVID-19 with vaccination is studied in ( Gumel, Iboi, Ngonghala, & Ngwa, 2020 ; L. Zhang, Ullah, Al Alwan, Alshehri, & Sumelka, 2021 ; Diagne, Rwezaura, Tchoumi, & Tchuenche, 2021 ; Yavuz, Coşar, Günay, & Özdemir, 2021 ). For instance, Gumel et al.…”

“…They concluded that the combined or simultaneous use of non-pharmaceutical protective measures such as face masks, hand washing, and social distancing should continue to be encouraged. Furthermore, the effects of vaccination and other constant and time-dependent variable control measures on the dynamics of COVID-19 is investigated in (L. Zhang et al., 2021 ). Their findings revealed that, compared to constant controls, the time-depended control measures play a vital role in disease eradication.…”

Mathematical modeling and analysis of the SARS-Cov-2 disease with reinfection

“…The modeling and control of the COVID-19 infection in Bangladesh has been discussed in Ullah et al (2021) . The application of optimal control theory to the mathematical assessment of novel coronavirus is analyzed in Zhang et al (2021) . An artificial intelligence study to forecast the infection of COVID-19 is discussed and analyzed in Elsheikh et al (2021) .…”