Mathematical model of the spread of COVID-19 in Plateau State, Nigeria

Abstract In this research, a mathematical model consisting of non-pharmaceutical control measures is formulated. The developed model helps to examine the transmission of COVID-19 infection in Plateau State, Nigeria, using face masks $$c_{f}$$ c f and social distancing $$c_{d}$$ c d as control measur...

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Main Authors: O. Adedire, Joel N. Ndam
Format: Article
Language:English
Published: SpringerOpen 2022-04-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:https://doi.org/10.1186/s42787-022-00144-z
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author O. Adedire
Joel N. Ndam
author_facet O. Adedire
Joel N. Ndam
author_sort O. Adedire
collection DOAJ
description Abstract In this research, a mathematical model consisting of non-pharmaceutical control measures is formulated. The developed model helps to examine the transmission of COVID-19 infection in Plateau State, Nigeria, using face masks $$c_{f}$$ c f and social distancing $$c_{d}$$ c d as control measures. Data used for the simulation of the developed model were obtained from Nigeria Centre for Disease Control which was fitted to the system of ordinary differential equations using nonlinear least squares method. Results at baseline values $$c_{f} = 0.1$$ c f = 0.1 and $$c_{d} = 0.2$$ c d = 0.2 of control measures indicate 2.3 estimation as basic reproduction number which suggests that COVID-19 in Plateau State tends towards endemic state. However, above about 40% in the use of face masks in the population and corresponding above 50% adherence to social distancing could as well bring down the basic reproduction number to a value below 1 necessary for disease eradication. The results at baseline values further indicate that the peak of the COVID-19 had been reached in less than 250 days from the first detection date after about 476,455 undetected asymptomatic individuals, 92,168 undetected symptomatic individuals and 83,801 detected quarantined individuals have been fully infectious. Therefore, the policymakers in Plateau State have the possibility of eradicating the disease with further strict non-pharmaceutical control measures provided that the present conditions of analysis remain fairly the same.
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spelling doaj.art-b548c68be5a143948561bb10b9e29ce42022-12-22T03:03:48ZengSpringerOpenJournal of the Egyptian Mathematical Society2090-91282022-04-0130111810.1186/s42787-022-00144-zMathematical model of the spread of COVID-19 in Plateau State, NigeriaO. Adedire0Joel N. Ndam1Department of Mathematics, University of JosDepartment of Mathematics, University of JosAbstract In this research, a mathematical model consisting of non-pharmaceutical control measures is formulated. The developed model helps to examine the transmission of COVID-19 infection in Plateau State, Nigeria, using face masks $$c_{f}$$ c f and social distancing $$c_{d}$$ c d as control measures. Data used for the simulation of the developed model were obtained from Nigeria Centre for Disease Control which was fitted to the system of ordinary differential equations using nonlinear least squares method. Results at baseline values $$c_{f} = 0.1$$ c f = 0.1 and $$c_{d} = 0.2$$ c d = 0.2 of control measures indicate 2.3 estimation as basic reproduction number which suggests that COVID-19 in Plateau State tends towards endemic state. However, above about 40% in the use of face masks in the population and corresponding above 50% adherence to social distancing could as well bring down the basic reproduction number to a value below 1 necessary for disease eradication. The results at baseline values further indicate that the peak of the COVID-19 had been reached in less than 250 days from the first detection date after about 476,455 undetected asymptomatic individuals, 92,168 undetected symptomatic individuals and 83,801 detected quarantined individuals have been fully infectious. Therefore, the policymakers in Plateau State have the possibility of eradicating the disease with further strict non-pharmaceutical control measures provided that the present conditions of analysis remain fairly the same.https://doi.org/10.1186/s42787-022-00144-zCOVID-19CoronavirusDiseaseEpidemicPlateau StateNigeria
spellingShingle O. Adedire
Joel N. Ndam
Mathematical model of the spread of COVID-19 in Plateau State, Nigeria
Journal of the Egyptian Mathematical Society
COVID-19
Coronavirus
Disease
Epidemic
Plateau State
Nigeria
title Mathematical model of the spread of COVID-19 in Plateau State, Nigeria
title_full Mathematical model of the spread of COVID-19 in Plateau State, Nigeria
title_fullStr Mathematical model of the spread of COVID-19 in Plateau State, Nigeria
title_full_unstemmed Mathematical model of the spread of COVID-19 in Plateau State, Nigeria
title_short Mathematical model of the spread of COVID-19 in Plateau State, Nigeria
title_sort mathematical model of the spread of covid 19 in plateau state nigeria
topic COVID-19
Coronavirus
Disease
Epidemic
Plateau State
Nigeria
url https://doi.org/10.1186/s42787-022-00144-z
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