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Analyzing the influence of treatment awareness rate on COVID-19 pandemic by fractional derivative-based modeling and simulation

    Authors

    • Kehinde Adekunle Bashiru 1
    • Mutairu Kayode Kolawole 2
    • Taiwo Adetola Ojurongbe 3
    • Aasim Akorede Dhikrullah 4
    • Hammed Ololade Adekunle 5
    • Habeeb Afolabi 6

    1 Department of Statistics, Osun State University, Osogbo, Nigeria

    2 Department of Mathematical Sciences, Osun State university, Osogbo, Nigeria.

    3 Department of Statistics, Osun State University, Osogbo.

    4 Department of Mathematical Sciences, OSun State University, Osogbo, Nigeria

    5 Department of Mathematical Sciences, Osun State University, Osogbo, Nigeria.

    6 Department of Statistical Sciences, Osun State University, Osogbo, Nigeria.

,

Document Type : Regular paper

10.48308/CMCMA.2.1.11
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Abstract

Covid-19 disease is a respiratory illness caused by SARS-Cov-2 and poses a serious public health risk. It usually spread from person-to-person. The fractional- order of covid-19 was determined and basic reproduction number using the next generation matrix was calculated. The stability of disease-free equilibrium and endemic equilibrium of the model were investigated. Also, sensitivity analysis of the reproduction number with respect to the model parameters were carried out. It was observed that in the absence of infected persons, disease free equilibrium is achievable and is asymptotically stable.
Numerical simulations were presented graphically. The results of the model analysis indicated that $R_{0}$ $\mathrm{<}$ 1 is adequate enough to reducing the spread of disease and disease persevere in the population when $R_{0}$ $\mathrm{>}$ 1 The numerical results showed that effective vaccination of the population helps in curtailing the spread of the viral disease.
In order to know whether the disease may die out or persist, basic reproduction number, $R_{0}$ was obtained using Next Generation Matrix Method. It was observed that the value of $R_{0}$ is high when the depletion of awareness programme is high while the value of $R_{o}$ is very low when the rate of implementation of awareness programme is high. So, neglecting the implementation of awareness program can have serious effect on the population. The model shows the implementation of awareness program is the key eradication to the pandemic.

Keywords

  • COVID-19
  • Public Enlightenment
  • Laplace Adomian Decomposition Method
  • Fractional Derivative
  • Numerical Simulation
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Computational Mathematics and Computer Modeling with Applications (CMCMA)
Volume 2, Issue 1
June 2023
Pages 11-23
Files
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  • PDF 292.94 K
History
  • Receive Date: 22 February 2023
  • Revise Date: 04 August 2023
  • Accept Date: 08 August 2023
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  • Mendeley
  • BibTeX
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Statistics
  • Article View: 269
  • PDF Download: 269

APA

Bashiru, K. Adekunle , Kolawole, M. Kayode , Ojurongbe, T. Adetola , Dhikrullah, A. Akorede , Adekunle, H. Ololade and Afolabi, H. (2023). Analyzing the influence of treatment awareness rate on COVID-19 pandemic by fractional derivative-based modeling and simulation. Computational Mathematics and Computer Modeling with Applications (CMCMA), 2(1), 11-23. doi: 10.48308/CMCMA.2.1.11

MLA

Bashiru, K. Adekunle, , Kolawole, M. Kayode, , Ojurongbe, T. Adetola, , Dhikrullah, A. Akorede, , Adekunle, H. Ololade, and Afolabi, H. . "Analyzing the influence of treatment awareness rate on COVID-19 pandemic by fractional derivative-based modeling and simulation", Computational Mathematics and Computer Modeling with Applications (CMCMA), 2, 1, 2023, 11-23. doi: 10.48308/CMCMA.2.1.11

HARVARD

Bashiru, K. Adekunle, Kolawole, M. Kayode, Ojurongbe, T. Adetola, Dhikrullah, A. Akorede, Adekunle, H. Ololade, Afolabi, H. (2023). 'Analyzing the influence of treatment awareness rate on COVID-19 pandemic by fractional derivative-based modeling and simulation', Computational Mathematics and Computer Modeling with Applications (CMCMA), 2(1), pp. 11-23. doi: 10.48308/CMCMA.2.1.11

CHICAGO

K. Adekunle Bashiru , M. Kayode Kolawole , T. Adetola Ojurongbe , A. Akorede Dhikrullah , H. Ololade Adekunle and H. Afolabi, "Analyzing the influence of treatment awareness rate on COVID-19 pandemic by fractional derivative-based modeling and simulation," Computational Mathematics and Computer Modeling with Applications (CMCMA), 2 1 (2023): 11-23, doi: 10.48308/CMCMA.2.1.11

VANCOUVER

Bashiru, K. Adekunle, Kolawole, M. Kayode, Ojurongbe, T. Adetola, Dhikrullah, A. Akorede, Adekunle, H. Ololade, Afolabi, H. Analyzing the influence of treatment awareness rate on COVID-19 pandemic by fractional derivative-based modeling and simulation. Computational Mathematics and Computer Modeling with Applications (CMCMA), 2023; 2(1): 11-23. doi: 10.48308/CMCMA.2.1.11

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