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Maximum likelihood-based extended Kalman filter for COVID-19 prediction.

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  • 1School of Engineering, RMIT University, Melbourne, VIC 3000, Australia.

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Summary

This study introduces a novel dynamic prediction method for COVID-19 spread using time-dependent parameters in the SEIRD model. The approach enhances epidemiological modeling accuracy for better public health strategies.

Keywords:
COVID-19 modellingExtended Kalman filterMaximum likelihood estimationSEIRD modelTime-dependent model parameters

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Area of Science:

  • Epidemiology
  • Mathematical Modeling
  • Public Health

Background:

  • Accurate prediction of COVID-19 spread is crucial for epidemic control.
  • Existing models often use constant parameters, failing to capture real-world dynamics.
  • Dynamic modeling is needed to reflect the evolving nature of infectious disease spread.

Purpose of the Study:

  • To develop a new method for dynamic prediction of COVID-19 spread.
  • To incorporate time-dependent parameters into epidemiological models.
  • To improve the accuracy of COVID-19 spread estimation and forecasting.

Main Methods:

  • Discretization of the susceptible-exposed-infected-recovered-dead (SEIRD) model in the time domain.
  • Construction of nonlinear state-space equations for dynamic estimation.
  • Application of maximum likelihood estimation for online parameter estimation.
  • Utilization of an extended Kalman filter for dynamic spread estimation.

Main Results:

  • The proposed method effectively estimates time-dependent model parameters.
  • Dynamic COVID-19 spread is accurately estimated using the developed approach.
  • Simulations for China and the United States demonstrate the method's efficacy.
  • The model shows strong performance in both COVID-19 modeling and prediction.

Conclusions:

  • The novel dynamic prediction method offers improved accuracy over static models.
  • Time-dependent parameter estimation is key to realistic epidemiological modeling.
  • This approach provides a valuable tool for public health officials in managing COVID-19.
  • The method is validated by its application to real-world pandemic data.