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Unveiling the significance of control factors on the vaccinated population for COVID-19 using the homotopy perturbation method

    Authors

    • Aderonke Ola Oluwarotimi 1
    • Amos Oladele Popoola 2

    1 Osun State University,Osogbo.

    2 Osun State University, Osogbo

,

Document Type : Regular paper

10.48308/CMCMA.4.2.22
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Abstract

The global emergence of the Coronavirus (Covid-19) has resulted in far-reaching implications, encompassing substantial loss of human lives and the revelation of vulnerabilities in health systems across the globe. In response to this crisis, we revisited a prior model and extended it by incorporating a vaccination control element. This novel addition involves introducing a control factor into the vaccinated class to examine the repercussions of frequent vaccine administration as a strategic measure to mitigate the spread of COVID-19. Of particular interest in our investigation is the exploration of the criteria for the existence of numerical solutions to the model, achieved through the application of the Homotopy Perturbation Method. Our preliminary findings demonstrate that the vaccine control factor exerts substantial effects on both the susceptible and recovery classes within the model. This research contributes to the understanding of the dynamics of COVID-19 transmission, providing insights that can inform public health strategies in the ongoing global battle against the pandemic.

Keywords

  • Covid-19
  • Vaccine control factor
  • Homotopy perturbation method
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Computational Mathematics and Computer Modeling with Applications (CMCMA)
Volume 4, Issue 2
September 2025
Pages 22-37
Files
  • XML
  • PDF 290.76 K
History
  • Receive Date: 26 February 2025
  • Revise Date: 06 October 2025
  • Accept Date: 06 October 2025
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How to cite
  • RIS
  • EndNote
  • Mendeley
  • BibTeX
  • APA
  • MLA
  • HARVARD
  • CHICAGO
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Statistics
  • Article View: 4
  • PDF Download: 1

APA

Oluwarotimi, A. Ola and Popoola, A. Oladele (2025). Unveiling the significance of control factors on the vaccinated population for COVID-19 using the homotopy perturbation method. Computational Mathematics and Computer Modeling with Applications (CMCMA), 4(2), 22-37. doi: 10.48308/CMCMA.4.2.22

MLA

Oluwarotimi, A. Ola, and Popoola, A. Oladele. "Unveiling the significance of control factors on the vaccinated population for COVID-19 using the homotopy perturbation method", Computational Mathematics and Computer Modeling with Applications (CMCMA), 4, 2, 2025, 22-37. doi: 10.48308/CMCMA.4.2.22

HARVARD

Oluwarotimi, A. Ola, Popoola, A. Oladele (2025). 'Unveiling the significance of control factors on the vaccinated population for COVID-19 using the homotopy perturbation method', Computational Mathematics and Computer Modeling with Applications (CMCMA), 4(2), pp. 22-37. doi: 10.48308/CMCMA.4.2.22

CHICAGO

A. Ola Oluwarotimi and A. Oladele Popoola, "Unveiling the significance of control factors on the vaccinated population for COVID-19 using the homotopy perturbation method," Computational Mathematics and Computer Modeling with Applications (CMCMA), 4 2 (2025): 22-37, doi: 10.48308/CMCMA.4.2.22

VANCOUVER

Oluwarotimi, A. Ola, Popoola, A. Oladele Unveiling the significance of control factors on the vaccinated population for COVID-19 using the homotopy perturbation method. Computational Mathematics and Computer Modeling with Applications (CMCMA), 2025; 4(2): 22-37. doi: 10.48308/CMCMA.4.2.22

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