Extension of SEIR compartmental models for constructive Lyapunov control of COVID-19 and analysis in terms of practical stability

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Authors

Due to the worldwide outbreak of COVID-19, many strategies and models have been put forward by researchers who intend to control the current situation with the given means. In particular, compartmental models are being used to model and analyze the COVID-19 dynamics of different considered populations as Susceptible, Exposed, Infected and Recovered compartments (SEIR). This study derives control-oriented compartmental models of the pandemic, together with constructive control laws based on the Lyapunov theory. The paper presents the derivation of new vaccination and quarantining strategies, found using compartmental models and design methods from the field of Lyapunov theory. The Lyapunov theory offers the possibility to track desired trajectories, guaran-teeing the stability of the controlled system. Computer simulations aid to demonstrate the efficacy of the results. Stabilizing control laws are obtained and analyzed for multiple variants of the model. The stability, constructivity, and feasibility are proven for each Lyapunov-like function. Obtaining the proof of practical stability for the controlled system, several interesting system properties such as herd immunity are shown. On the basis of a generalized SEIR model and an extended variant with additional Protected and Quarantined compartments, control strategies are conceived by using two fundamental system inputs, vaccination and quarantine, whose influence on the system is a crucial part of the model. Simulation results prove that Lyapunov-based approaches yield effective control of the disease transmission.

OriginalspracheEnglisch
Aufsatznummer2076
ZeitschriftMathematics
Jahrgang9
Ausgabenummer17
Anzahl der Seiten25
DOIs
PublikationsstatusErschienen - 09.2021

Dokumente

DOI

Zuletzt angesehen

Publikationen

  1. In situ synchrotron diffraction of the solidification of Mg4Y3Nd
  2. Sustainability-oriented technology exploration: managerial values, ambidextrous design, and separation drift
  3. What do people do when they use the internet?
  4. Towards a theory of ethnic identity and migration
  5. Next generation wireless energy aware sensors for internet of things
  6. Study of the solidification of AS alloys combining in situ synchrotron diffraction and differential scanning calorimetry
  7. Comparative effectiveness of guided internet-based stress management training versus established in-person group training in employees – study protocol for a pragmatic, randomized, non-inferiority trial
  8. Bifurcation loads of beams of glued-laminated timber with intermediate lateral supports
  9. Solution for the direct kinematics problem of the general stewart-gough platform by using only linear actuators’ orientations
  10. The interaction of precipitation and deformation in a binary Mg-Ca alloy at elevated temperatures
  11. Exploring the Capacity of Water Framework Directive Indices to Assess Ecosystem Services in Fluvial and Riparian Systems
  12. The effectiveness of nudging
  13. Non-target Analysis and Chemometric Evaluation of a Passive Sampler Monitoring of Small Streams
  14. What’s Hot: Machine Learning for the Quantified Self
  15. Study on Mg–Si–Sr ternary alloys for biomedical applications
  16. Determinants of fair own wage perceptions
  17. Learning Analytics an Hochschulen
  18. Human development and the "explosion" of democracy
  19. A Theory-Based Concept for Fostering Sustainability Competencies in Engineering Programs
  20. Sustainable Development
  21. On the microstructure of the German export boom: Evidence from establishment panel data, 1995-2002
  22. Trajnostni razvoj v predsolskih ustanovah -
  23. A Motion-Sensorless Control for Intake Valves in Combustion Engines
  24. Best Practise: Management-Informationssysteme (MIS) im Krankenhaus
  25. The Bali Convention: flexibility of targets and instruments inevitable