Global Analysis and Optimal Control Model of COVID-19

Nana-Kyere, Sacrifice; Boateng, Francis Agyei; Jonathan, Paddy; Donkor, Anthony; Hoggar, Glory Kofi; Titus, Banon Desmond; Kwarteng, Daniel; Adu, Isaac Kwasi

doi:10.1155/2022/9491847

Cited by 20 publications

(14 citation statements)

References 70 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Some of the studies on COVID-19 where the effectiveness of the control strategies are studied can be found in Nana-Kyere et al. ( 2022 ), Chaharborj et al. ( 2021 ), Madubueze et al.…”

Section: Discussionmentioning

confidence: 99%

Optimal Drug Regimen and Combined Drug Therapy and Its Efficacy in the Treatment of COVID-19: A Within-Host Modeling Study

Chhetri

Dkk

et al. 2022

Acta Biotheor

View full text Add to dashboard Cite

The COVID-19 pandemic has resulted in more than 524 million cases and 6 million deaths worldwide. Various drug interventions targeting multiple stages of COVID-19 pathogenesis can significantly reduce infection-related mortality. The current within-host mathematical modeling study addresses the optimal drug regimen and efficacy of combination therapies in the treatment of COVID-19. The drugs/interventions considered include Arbidol, Remdesivir, Interferon (INF) and Lopinavir/Ritonavir. It is concluded that these drugs, when administered singly or in combination, reduce the number of infected cells and viral load. Four scenarios dealing with the administration of a single drug, two drugs, three drugs and all four are discussed. In all these scenarios, the optimal drug regimen is proposed based on two methods. In the first method, these medical interventions are modeled as control interventions and a corresponding objective function and optimal control problem are formulated. In this framework, the optimal drug regimen is derived. Later, using the comparative effectiveness method, the optimal drug regimen is derived based on the basic reproduction number and viral load. The average number of infected cells and viral load decreased the most when all four drugs were used together. On the other hand, the average number of susceptible cells decreased the most when Arbidol was administered alone. The basic reproduction number and viral load decreased the most when all four interventions were used together, confirming the previously obtained finding of the optimal control problem. The results of this study can help physicians make decisions about the treatment of the life-threatening COVID-19 infection.

show abstract

“…Some of the studies on COVID-19 where the effectiveness of the control strategies are studied can be found in Nana-Kyere et al. ( 2022 ), Chaharborj et al. ( 2021 ), Madubueze et al.…”

Section: Discussionmentioning

confidence: 99%

Optimal Drug Regimen and Combined Drug Therapy and Its Efficacy in the Treatment of COVID-19: A Within-Host Modeling Study

Chhetri

Dkk

et al. 2022

Acta Biotheor

View full text Add to dashboard Cite

show abstract

“…Nana-Kyere et al [ 27 ] developed SEQIAHR compartmental model of COVID-19 to provide insight into the dynamics of the disease by underlying tailored strategies designed to minimize the pandemic. The model utilized the Castillo-Chavez method and Lyapunov function to investigate the global stability of the disease at the disease-free and endemic equilibrium.…”

Section: Related Workmentioning

confidence: 99%

An Enhanced SEIR Model for Prediction of COVID-19 with Vaccination Effect

Poonia

Saudagar

AlTameem

et al. 2022

Life

View full text Add to dashboard Cite

Currently, the spread of COVID-19 is running at a constant pace. The current situation is not so alarming, but every pandemic has a history of three waves. Two waves have been seen, and now expecting the third wave. Compartmental models are one of the methods that predict the severity of a pandemic. An enhanced SEIR model is expected to predict the new cases of COVID-19. The proposed model has an additional compartment of vaccination. This proposed model is the SEIRV model that predicts the severity of COVID-19 when the population is vaccinated. The proposed model is simulated with three conditions. The first condition is when social distancing is not incorporated, while the second condition is when social distancing is included. The third one condition is when social distancing is combined when the population is vaccinated. The result shows an epidemic growth rate of about 0.06 per day, and the number of infected people doubles every 10.7 days. Still, with imparting social distancing, the proposed model obtained the value of R0 is 1.3. Vaccination of infants and kids will be considered as future work.

show abstract

“…The global and local dynamics of COVID-19 may be completely characterized by mathematical models operating under fractional order derivatives. In addition, models of this type that make use of fractional calculus are superior in terms of their ability to precisely and accurately represent observed occurrences [49][50][51][52][53][54][55][56][57]. The researchers utilize models to track the evolution epidemic over a period of time, such as SEIR [58], which considers four compartments: Susceptible Exposed, Infected and Recovered.…”

Section: Introductionmentioning

confidence: 99%

Fractional COVID-19 Modeling and Analysis on Successive Optimal Control Policies

Hadi

Bilgehan²

2022

Fractal Fract

View full text Add to dashboard Cite

A fractional-order coronavirus disease of 2019 (COVID-19) model is constructed of five compartments in the Caputo-Fabrizio sense. The main aim of the paper is to study the effects of successive optimal control policies in different susceptible classes; a susceptible unaware class where awareness control is observed, a susceptible aware class where vaccine control is observed, and a susceptible vaccinated class where optimal vaccination control is observed. These control policies are considered awareness and actions toward vaccination and non-pharmaceuticals to control infection. Equilibrium points are calculated, which subsequently leads to the computation of the basic reproduction ratio. The existence and uniqueness properties of the model are established. The optimal control problem is constructed and subsequently analyzed. Numerical simulations are carried out and the significance of the fractional-order from the biological point of view is established. The results showed that applying various control functions will lead to a decrease in the infected population, and it is evident that introducing the three control measures together causes a drastic decrease in the infected population.

show abstract

Global Analysis and Optimal Control Model of COVID-19

Cited by 20 publications

References 70 publications

Optimal Drug Regimen and Combined Drug Therapy and Its Efficacy in the Treatment of COVID-19: A Within-Host Modeling Study

Optimal Drug Regimen and Combined Drug Therapy and Its Efficacy in the Treatment of COVID-19: A Within-Host Modeling Study

An Enhanced SEIR Model for Prediction of COVID-19 with Vaccination Effect

Fractional COVID-19 Modeling and Analysis on Successive Optimal Control Policies

Contact Info

Product

Resources

About