AN OPTIMAL CONTROL OF PREVENTION AND TREATMENT OF COVID-19 SPREAD IN INDONESIA

Jonner Nainggolan; Joko Harianto; Hengki Tasman

doi:10.28919/cmbn/7820

AN OPTIMAL CONTROL OF PREVENTION AND TREATMENT OF COVID-19 SPREAD IN INDONESIA

Jonner Nainggolan, Joko Harianto, Hengki Tasman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

In this paper we analyze COVID-19 spread in Indonesia using an epidemio logical model. We consider symptomatic and asymptomatic infections in the model. We analyze the equilibria of the model and their stability which depend on the basic reproduction ratio for symptomatic and asymptomatic infections. Furthermore, we use optimal control in prevention and treatment in decreasing the number of positive COVID-19 patients in Indonesia. Furthermore, we analyze the existence of optimal control using the Pontryagin minimum principle. We also give numerical simulation of COVID-19 spread with and without the control. According to the simulation, COVID-19 spread could be reduced by using prevention and treatment control simultaneously.

Original language	English
Article number	3
Journal	Communications in Mathematical Biology and Neuroscience
Volume	2023
DOIs	https://doi.org/10.28919/cmbn/7820
Publication status	Published - 2023

Keywords

basic reproduction ratio
COVID-19
equilibria
local stability
optimal control
prevention
treatment

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10.28919/cmbn/7820

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title = "AN OPTIMAL CONTROL OF PREVENTION AND TREATMENT OF COVID-19 SPREAD IN INDONESIA",

abstract = "In this paper we analyze COVID-19 spread in Indonesia using an epidemio logical model. We consider symptomatic and asymptomatic infections in the model. We analyze the equilibria of the model and their stability which depend on the basic reproduction ratio for symptomatic and asymptomatic infections. Furthermore, we use optimal control in prevention and treatment in decreasing the number of positive COVID-19 patients in Indonesia. Furthermore, we analyze the existence of optimal control using the Pontryagin minimum principle. We also give numerical simulation of COVID-19 spread with and without the control. According to the simulation, COVID-19 spread could be reduced by using prevention and treatment control simultaneously.",

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author = "Jonner Nainggolan and Joko Harianto and Hengki Tasman",

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T1 - AN OPTIMAL CONTROL OF PREVENTION AND TREATMENT OF COVID-19 SPREAD IN INDONESIA

AU - Nainggolan, Jonner

AU - Harianto, Joko

AU - Tasman, Hengki

N1 - Funding Information: The authors would like to thank Kemenristek Dikti providing Higher Education Grants of College Leading Basic Research for Fiscal Year 2022, through LPPM Universitas Cenderawasih who sponsored the research. Publisher Copyright: © 2023 JONNER NAINGGOLAN et al.

PY - 2023

Y1 - 2023

N2 - In this paper we analyze COVID-19 spread in Indonesia using an epidemio logical model. We consider symptomatic and asymptomatic infections in the model. We analyze the equilibria of the model and their stability which depend on the basic reproduction ratio for symptomatic and asymptomatic infections. Furthermore, we use optimal control in prevention and treatment in decreasing the number of positive COVID-19 patients in Indonesia. Furthermore, we analyze the existence of optimal control using the Pontryagin minimum principle. We also give numerical simulation of COVID-19 spread with and without the control. According to the simulation, COVID-19 spread could be reduced by using prevention and treatment control simultaneously.

AB - In this paper we analyze COVID-19 spread in Indonesia using an epidemio logical model. We consider symptomatic and asymptomatic infections in the model. We analyze the equilibria of the model and their stability which depend on the basic reproduction ratio for symptomatic and asymptomatic infections. Furthermore, we use optimal control in prevention and treatment in decreasing the number of positive COVID-19 patients in Indonesia. Furthermore, we analyze the existence of optimal control using the Pontryagin minimum principle. We also give numerical simulation of COVID-19 spread with and without the control. According to the simulation, COVID-19 spread could be reduced by using prevention and treatment control simultaneously.

KW - basic reproduction ratio

KW - COVID-19

KW - equilibria

KW - local stability

KW - optimal control

KW - prevention

KW - treatment

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U2 - 10.28919/cmbn/7820

DO - 10.28919/cmbn/7820

M3 - Article

AN - SCOPUS:85146290372

SN - 2052-2541

VL - 2023

JO - Communications in Mathematical Biology and Neuroscience

JF - Communications in Mathematical Biology and Neuroscience

M1 - 3

ER -

AN OPTIMAL CONTROL OF PREVENTION AND TREATMENT OF COVID-19 SPREAD IN INDONESIA

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Keywords

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