2014
DOI: 10.1016/j.camwa.2014.02.002
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Inverse problem for coefficient identification in SIR epidemic models

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Cited by 32 publications
(33 citation statements)
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“…The present work extends the method proposed in [23] for finding optimum values for the infectivity and recovery rates. In [23], these values are assumed to be constant over the whole interval because we applied the method to a short outbreak of influenza instead of considering the long term evolution of a pandemic as with the case of COVID-19. Here, we assume the infectivity and recovery rates are functions of time, namely a = a(t) and b = b(t).…”
Section: Introductionmentioning
confidence: 72%
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“…The present work extends the method proposed in [23] for finding optimum values for the infectivity and recovery rates. In [23], these values are assumed to be constant over the whole interval because we applied the method to a short outbreak of influenza instead of considering the long term evolution of a pandemic as with the case of COVID-19. Here, we assume the infectivity and recovery rates are functions of time, namely a = a(t) and b = b(t).…”
Section: Introductionmentioning
confidence: 72%
“…COVID-19. The problem for the estimation of the constants a and b is an inverse problem solved in [23]. A similar approach for identifying coefficients in an Euler-Bernoulli equation from over-posed data is used in [22] and [25].…”
Section: The Direct Problemmentioning
confidence: 99%
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“…Here, one aims to estimate different parameters appearing in our epidemiological models based on observed data. Different deterministic approaches by optimisation techniques 29,30 like least-squares methods 31,32 , variational imbedding 33 and Gaussian fitting 34 or stochastic models like time-series 35 or parameter identification by Bayesian methods 36 have been successfully used in inverse epidemiological problems. Evaluating the calculated constant or time-varying transfer rates on acquired data, we have reasonable foundations to make model assumptions plausible.…”
Section: Introductionmentioning
confidence: 99%