International Journal of Mathematics Trends and Technology
Volume 68 | Issue 12 | Year 2022 | Article Id. IJMTT-V68I12P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I12P510
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 27 Oct 2022 | 02 Dec 2022 | 15 Dec 2022 | 31 Dec 2022 |
This paper considered a novel transmission and control model for curbing the spread of Covid-19 disease in Nigeria. The model dynamics was studied in the presence of vaccines on the Nigeria population. The analytical properties of the model which include local and global stabilities of the Covid-19-free and endemic equilibria were discussed. The basic reproductive number was obtained in order to ascertain the states of the eradication of Covid-19 from Nigeria. The parameters in the model were estimated based on the real data of COVID-19 infected cases, number of vaccinated and deaths recorded in Nigeria. The sensitivity of the model parameters was carried out and the results proved that high values of the parameters associated with the rate of vaccination and precautionary measures will drastically reduce the spread rate of Covid-19 in Nigeria. The trace and determinant of matrix method was applied to determine the local stability of Covid-19-free equilibrium. The Covid-19-free equilibrium was found to be globally stable when the reproductive number is strictly less than one and the endemic equilibrium is globally stable when the reproductive number is more than one. The numerical simulation and analysis of the model on various sets of parameters showed that there is a strong significant effect on the infectives if a minimum of fifty percent of the inhabitants is vaccinated against Covid - 19 in Nigeria.
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Mabel E. Adeosun, Bukola O. Akin-Awoniran, James. A. Akingbade, "A Novel Mathematical Model for Curbing the Spread of Covid-19 in Nigeria," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 12, pp. 74-99, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I12P510
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