Optimal Control of Mathematical Model for COVID-19 with Quarantine and Isolation

Rois, Muhammad Abdurrahman; Trisilowati, Habibah

doi:10.14445/22315381/ijett-v69i6p223

Cited by 5 publications

(2 citation statements)

References 12 publications

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“…Managing the developed mathematical model is necessary to lower COVID-19 infections. Researchers discussing control issues include Deressa & Duressa [8], Olaniyi et al [12], and Rois et al [18]. Deressa & Duressa propose three controls: public education, protecting yourself from COVID-19 infection (such as wearing masks, washing hands, and keeping a safe distance), and treating COVID-19 patients in hospitals.…”

Section: Introductionmentioning

confidence: 99%

Optimal Control of COVID-19 Model with Partial Comorbid Subpopulations and Two Isolation Treatments in Indonesia

Rois

Fatmawati

Alfiniyah

2023

Eur. J. Pure Appl. Math.

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We applied sensitivity analysis and optimum control to the COVID-19 model in this research. In addition, the basic reproduction number calculated as 1.57 indicates that this illness is widespread across Indonesia. The most important factor in this model is the contact rate with infected people, with or without comorbidity. Optimal control will minimize the number of infected populations without and with comorbidity, and costs. Numerical experiments will be carried out to describe and compare the graphical models of the spread of COVID-19 with and without controls. From the numerical results and cost-effectiveness analysis on the optimal control problem, it is found that applying a combination of controls can give the best results compared to a single control

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Section: Introductionmentioning

confidence: 99%

Optimal Control of COVID-19 Model with Partial Comorbid Subpopulations and Two Isolation Treatments in Indonesia

Rois

Fatmawati

Alfiniyah

2023

Eur. J. Pure Appl. Math.

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“…Next, the researcher [22] provides two controls, namely, public education and treatment (in the hospital). The other researchers [23] reduced the number of infected by adding two controls, namely, the control of public education and care of medical.…”

Section: Introductionmentioning

confidence: 99%

Two isolation treatments on the COVID-19 model and optimal control with public education

Rois

Fatmawati²,

Alfiniyah

2023

Jambura J. Biomath.

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This study examines a COVID-19 mathematical model with two isolation treatments. We assume that isolation has two treatments: isolation with and without treatment. We also investigated the model using public education as a control. We show that the model has two equilibria based on the model without control. The basic reproduction number influences the local stability of the equilibrium and the presence of an endemic equilibrium. Therefore, the optimal control problem is solved by applying Pontryagin’s Principle. In the 100th day following the intervention, the number of reported diseases decreased by 85.5% when public education was used as the primary control variable in the simulations.

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Modeling and optimal control of COVID-19 with comorbidity and three-dose vaccination in Indonesia

Rois,

Fatmawati,

Alfiniyah

et al. 2024

Journal of Biosafety and Biosecurity

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Optimal Control of Mathematical Model for COVID-19 with Quarantine and Isolation

Cited by 5 publications

References 12 publications

Optimal Control of COVID-19 Model with Partial Comorbid Subpopulations and Two Isolation Treatments in Indonesia

Optimal Control of COVID-19 Model with Partial Comorbid Subpopulations and Two Isolation Treatments in Indonesia

Two isolation treatments on the COVID-19 model and optimal control with public education

Modeling and optimal control of COVID-19 with comorbidity and three-dose vaccination in Indonesia

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