Compartmental SEIRW COVID-19 optimal control model

Nana-Kyere, Sacrifice; Okyere, Eric; Ankamah, Johnson De-Graft

doi:10.28919/cmbn/4998

Cited by 1 publication

(1 citation statement)

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“…According to the authors, models with optimal control have more consistent results when it comes to lowering the number of infected people when compared to models without optimal control. Nana-Kyere and Sacrifce [14] studied the SEIRW COVID-19 compartmental model by extending to the optimal control model using three control measures. Tey come to the conclusion that a combination of personal protection, drug treatment and spraying considered by signifcantly reducing the number of exposed and infected people in the population.…”

Section: Introductionmentioning

confidence: 99%

Optimal Control Strategies of COVID-19 Dynamics Model

Keno

Etana

2023

Journal of Mathematics

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In this paper, we proposed the optimal control for the dynamics of COVID-19 with cost effectiveness strategies. First, we showed that model solution is positive, and bounded in a fixed domain. Besides, we used next-generation matrix to compute the basic reproduction number. If the basic reproduction number is less than one, then the disease-free equilibrium point is both locally and globally stable, respectively, via the help of Jacobian matrix and Lyapunov function, otherwise the endemic equilibrium occurs. The sensitivity analysis was determined with regard to all basic parameters. Then the model is fitted with COVID-19 infected cases reported from October 1, 2022 to October 30, 2022 in Ethiopia. The values of model parameters are then estimated from the data reported using the least-square method. Furthermore, using Pontryagin maximum principle, the model is extended to optimal control incorporating three control namely: personal protective, vaccination, and treatment of infected humans. Finally, based upon the numerical simulation of optimal controls and cost effectiveness analysis, the most optimal and less costly strategy to minimize the disease is combination of vaccination and treatment of infected.

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Section: Introductionmentioning

confidence: 99%