2022
DOI: 10.1038/s41598-022-20276-7
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Adaptive SIR model with vaccination: simultaneous identification of rates and functions illustrated with COVID-19

Abstract: An Adaptive Susceptible-Infected-Removed-Vaccinated (A-SIRV) epidemic model with time-dependent transmission and removal rates is constructed for investigating the dynamics of an epidemic disease such as the COVID-19 pandemic. Real data of COVID-19 spread is used for the simultaneous identification of the unknown time-dependent rates and functions participating in the A-SIRV system. The inverse problem is formulated and solved numerically using the Method of Variational Imbedding, which reduces the inverse pro… Show more

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Cited by 24 publications
(7 citation statements)
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“…The standard SIR model and its variations of increasing complexity(e.g. SIRV, SEIR, SEIRS) have already been applied at different geographic scales, from region 14 , to country 15 , 16 and continent level 17 , 18 in order to develop a thorough understanding on the risk of transmission of COVID-19. To this end, risk estimation of COVID-19 spread has been studied from the perspective of time-varying SIR models 19 .…”
Section: Introductionmentioning
confidence: 99%
“…The standard SIR model and its variations of increasing complexity(e.g. SIRV, SEIR, SEIRS) have already been applied at different geographic scales, from region 14 , to country 15 , 16 and continent level 17 , 18 in order to develop a thorough understanding on the risk of transmission of COVID-19. To this end, risk estimation of COVID-19 spread has been studied from the perspective of time-varying SIR models 19 .…”
Section: Introductionmentioning
confidence: 99%
“…The model does not consider the dynamics of external factors, so the solutions obtained using the model are difficult to update to a changing situation. The paper [21] proposes an extension of the classical SIR model, the adaptive susceptibleinfected-removed-vaccinated model with time-dependent transmission and removal rates. The authors propose a numerical solution to the inverse problem using the variational embedding method, which reduces the inverse problem to the problem of minimizing a well-formed functional to obtain the desired values.…”
Section: Current Research Analysismentioning
confidence: 99%
“…A scale-free model can be used in conjunction with a small-world model 20 23 . When these network models are incorporated into mathematical epidemic frameworks such as Susceptible, Infected, Recovered (SIR) 24 , Susceptible, Exposed, Infected, Recovered (SEIR) 25 , and Adaptive SIR 26 , they have capabilities of representing the propagation of pathogens more realistically. This integration results in more accurate predictions of viral transmission 27 .…”
Section: Introductionmentioning
confidence: 99%