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Multivariate Techniques for Monitoring Susceptible, Exposed, Infected, Recovered, Death, and Vaccination Model
Abdel-Salam G Abdel-Salam1, Edward L Boone2, Ryad Ghanam3
1Department of Mathematics and Statistics, College of Arts and Sciences, Qatar University, Doha P.O. Box 2713, Qatar.
This study introduces Multivariate Exponentially Weighted Moving Average (MEWMA) and Multivariate Cumulative Sum (MCUSUM) control charts to monitor the Susceptible, Exposed, Infected, Recovered, Death, and Vaccination (SEIRDV) model for effective pandemic decision-making.
Area of Science:
- Epidemiology and Public Health
- Statistical Process Control
- Mathematical Modeling
Background:
- Effective pandemic response requires simultaneous monitoring of transmission, infection, recovery, and fatality rates.
- The Susceptible, Exposed, Infected, Recovered, Death, and Vaccination (SEIRDV) model is crucial for understanding disease dynamics.
- Existing statistical methods need enhancement for real-time pandemic parameter monitoring.
Purpose of the Study:
- To introduce and apply Multivariate Exponentially Weighted Moving Average (MEWMA) and Multivariate Cumulative Sum (MCUSUM) control charts for SEIRDV model parameter monitoring.
- To assess the effectiveness of public health interventions and track emerging variants using real-time data.
- To provide a robust framework for decision-making during health crises like the COVID-19 pandemic.
Main Methods:
- Application of MEWMA and MCUSUM control charts to monitor SEIRDV model parameters.
- Utilizing COVID-19 data from the State of Qatar for methodological validation.
- Employing an augmented particle Markov chain Monte Carlo scheme for enhanced parameter estimation.
Main Results:
- MEWMA and MCUSUM charts effectively monitor SEIRDV model parameters.
- The augmented particle Markov chain Monte Carlo scheme provides improved accuracy and robustness in real-time monitoring.
- The methodology offers practical utility for assessing intervention effectiveness and pandemic dynamics.
Conclusions:
- MEWMA and MCUSUM control charts are valuable tools for real-time pandemic surveillance.
- The enhanced monitoring approach supports informed decision-making during public health emergencies.
- This methodology can be applied to future pandemics for improved response strategies.
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