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Mathematical modeling of infectious diseases provides essential insights for public health. This study introduces the SEIQR epidemic model to improve prediction accuracy. Researchers utilized fractional-order derivatives because they capture memory effects in disease spread. Moreover, the model incorporates logistic input and saturated incidence rates. Consequently, the researchers established the stability of both disease-free and endemic equilibria through rigorous analysis. Furthermore, the authors developed a fractional optimal control problem to identify effective prevention measures. This approach allows health authorities to determine the most efficient quarantine and isolation protocols. The researchers then validated the findings using real-world COVID-19 data sets. In addition, the results confirm that optimal control significantly reduces the total number of infected individuals.
Implementing effective control strategies is vital during a pandemic. The study suggests that fractional-order models provide more realistic simulations than traditional integer-order versions. Therefore, policymakers can use these findings to balance economic costs and healthcare demands. The model specifically highlights the importance of timely quarantine for infected populations. However, the effectiveness of these measures depends heavily on the accuracy of initial data. In addition, the saturated incidence rate helps account for the psychological effects and resource limitations during an outbreak. Scientists applied these theoretical results to enhance the reliability of disease forecasting and resource allocation. Consequently, this framework offers a robust tool for future infectious disease management.
Fractional-order derivatives account for memory effects and hereditary properties. This allows the model to better reflect the long-term impact of previous infection trends on current transmission rates.
The model helps identify the thresholds for disease-free equilibrium. By applying optimal control strategies, authorities can minimize the number of infections while optimizing the use of medical resources like quarantine facilities.
Disclaimer: This content is for informational and educational purposes only and does not constitute medical advice or professional consultation. Always seek the advice of a physician or other qualified health provider with any questions regarding a medical condition. Refer to the latest local and national guidelines for clinical practice.
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A study analyzes a fractional-order SEIQR epidemic model with logistic input, proving stability and offering optimal control strategies for COVID-19 managem...
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