2021
DOI: 10.1186/s13662-021-03263-6
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An SIR epidemic model for COVID-19 spread with fuzzy parameter: the case of Indonesia

Abstract: The aim of this research is to construct an SIR model for COVID-19 with fuzzy parameters. The SIR model is constructed by considering the factors of vaccination, treatment, obedience in implementing health protocols, and the corona virus-load. Parameters of the infection rate, recovery rate, and death rate due to COVID-19 are constructed as a fuzzy number, and their membership functions are used in the model as fuzzy parameters. The model analysis uses the generation matrix method to obtain the basic reproduct… Show more

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Cited by 60 publications
(53 citation statements)
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“…Many research studies were conducted to provide a transmission dynamic model for COVID-19. In 5 , an SIR (susceptible-infected-recovered) epidemic model for COVID-19 spread in Indonesia with fuzzy parameter was constructed by taking into account the factors of vaccination, treatment, health protocols, and the virus-load. In 6 , a conceptual mathematical model on the transmission dynamics of COVID-19 between the frontliners and the general public was formulated by considering an SEIR (susceptible–exposed–infected–recovered) compartment model where a huge number of parameters is required (up to 23 parameters).…”
Section: Literature Reviewmentioning
confidence: 99%
“…Many research studies were conducted to provide a transmission dynamic model for COVID-19. In 5 , an SIR (susceptible-infected-recovered) epidemic model for COVID-19 spread in Indonesia with fuzzy parameter was constructed by taking into account the factors of vaccination, treatment, health protocols, and the virus-load. In 6 , a conceptual mathematical model on the transmission dynamics of COVID-19 between the frontliners and the general public was formulated by considering an SEIR (susceptible–exposed–infected–recovered) compartment model where a huge number of parameters is required (up to 23 parameters).…”
Section: Literature Reviewmentioning
confidence: 99%
“…The comparison between Iran and Pakistan is done by [20] . A case of the COVID-19 pandemic in Indonesia has been discussed in [21] .…”
Section: Introductionmentioning
confidence: 99%
“…The comparison between the two neighbour countries Iran and Pakistan has appeared in [16]. A case of the COVID-19 pandemic in Indonesia has been discussed in [17]. For more information, reader can refer to [18][19][20][21][22][23][24][25][26][27].…”
Section: Introductionmentioning
confidence: 99%