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Research Article
Abdul Alimamy Kamara
Department of Mathematics and Statistics, Fourah Bay College, University of Sierra Leone, Freetown, Sierra Leone
Corresponding Author
ORCiD: https://orcid.org/0000-0002-8254-1008
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This work is licensed under a CC BY 4.0 License. Read Full License
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- The author has confirmed that a statement listing potential conflicts of interest or lack thereof is included in the text.
In this paper, an asymptomatic infection transmission Susceptible-Exposed-Infectious-Recovered (SEIR) model with demographic effects is used to understand the dynamics of the COVID-19 pandemics. We calculate the basic reproduction number (R0), and prove the global stability of the model by solving the differential equations of the model using the disease-free equilibrium (DFE) and endemic equilibrium (EE) equations, respectively. We showed that when the R0 less than one or less than and equal to one, and greater than one or greater than and equal to one the DFE and EE asymptotic stability exist theoretically and numerically, respectively. We also demonstrate the detrimental impact of the direct and asymptomatic infections for the COVID-19 pandemic.
Keywords
Mathematical modelling, COVID-19, demographic effects, asymptotic stability
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Mathematical Modelling of COVID-19 Pandemic with Demographic Effects
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View the published article at Journal of the Egyptian Mathematical Society.
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A new preprint design is coming!
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This is a preprint, a preliminary version of a manuscript that has not completed peer review at a journal. Research Square does not conduct peer review prior to posting preprints. The posting of a preprint on this server should not be interpreted as an endorsement of its validity or suitability for dissemination as established information or for guiding clinical practice.
Research Article
Abdul Alimamy Kamara
Department of Mathematics and Statistics, Fourah Bay College, University of Sierra Leone, Freetown, Sierra Leone
Corresponding Author
ORCiD: https://orcid.org/0000-0002-8254-1008
Badges
Prescreen
This manuscript passed our Prescreen assessment
Complete author information
Appropriate declaration statements
Potential risks to human health
Prescreen
History
CURRENT STATUS: Posted
View the published article at Journal of the Egyptian Mathematical Society.
Version 1
Posted 12 Aug, 2020
No community comments so far
Metrics
Comments: 0
PDF Downloads: ...
HTML Views: ...
License:
This work is licensed under a CC BY 4.0 License. Read Full License
Declarations:
Declarations
- The author has confirmed that a statement listing potential conflicts of interest or lack thereof is included in the text.
View the published article at Journal of the Egyptian Mathematical Society.
In this paper, an asymptomatic infection transmission Susceptible-Exposed-Infectious-Recovered (SEIR) model with demographic effects is used to understand the dynamics of the COVID-19 pandemics. We calculate the basic reproduction number (R0), and prove the global stability of the model by solving the differential equations of the model using the disease-free equilibrium (DFE) and endemic equilibrium (EE) equations, respectively. We showed that when the R0 less than one or less than and equal to one, and greater than one or greater than and equal to one the DFE and EE asymptotic stability exist theoretically and numerically, respectively. We also demonstrate the detrimental impact of the direct and asymptomatic infections for the COVID-19 pandemic.
Figure 1
Figure 2
Figure 3
Figure 4
The full text of this article is available to read as a PDF.
This is a list of supplementary files associated with this preprint. Click to download.
- Computersimulationcode.docx
Mathematical Modelling of COVID-19 Pandemic with Demographic Effects
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