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Mathematical model of COVID-19 dynamics in the presence of multiple controls

Author

Listed:
  • J. O. Akanni

    (Koladaisi University
    Universitas Airlangga)

  • Fatmawati

    (Universitas Airlangga)

  • S. Ajao

    (Elizade University)

  • J. K. K. Asamoah

    (Saveetha School of Engineering SIMATS
    Kwame Nkrumah University of Science and Technology)

  • S. F. Abimbade

    (Ladoke Akintola University of Technology)

Abstract

The coronavirus disease 19 (COVID-19), caused by the Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-COV-2), is an infectious disease constituting the most significant challenge to human and socio-economic development across the globe. Many studies have been conducted to gain more knowledge on the dynamic spread of SARS-COV-2 in the community of people. In this study, a new mathematical model made up of a system of non-linear ODEs is designed and meticulously analyzed to understand the dynamics of transmission of COVID-19. Specific necessary properties exhibited by the COVID-19 model are examined through the theory of non-negativity and boundedness of solutions. The threshold parameter measuring the invasion potential of COVID-19 in the population is worked out by employing the Next Generation Matrix approach. The model is shown to have two endemic equilibria whenever basic reproduction number $$\mathcal {R}_{0}

Suggested Citation

  • J. O. Akanni & Fatmawati & S. Ajao & J. K. K. Asamoah & S. F. Abimbade, 2025. "Mathematical model of COVID-19 dynamics in the presence of multiple controls," Quality & Quantity: International Journal of Methodology, Springer, vol. 59(1), pages 261-290, February.
    • Handle: RePEc:spr:qualqt:v:59:y:2025:i:1:d:10.1007_s11135-024-01975-x
    DOI: 10.1007/s11135-024-01975-x
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