A model for analysing the dynamics of the second wave of corona virus (COVID--19) in Nigeria

Volume 26, Issue 1, pp 16--21 http://dx.doi.org/10.22436/jmcs.026.01.03

Publication Date: September 17, 2021 Submission Date: February 14, 2021 Revision Date: April 16, 2021 Accteptance Date: August 10, 2021

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Authors

A. S. WUSU - Department of Mathematics, Lagos State University, Lagos, Nigeria. O. A. OLABANJO - Department of Mathematics, Morgan State University, Maryland, USA. M. A. AKANBI - Department of Mathematics, Lagos State University, Lagos, Nigeria.

Abstract

The resurgence of the coronavirus (COVID--19) disease is rapidly taking its toll on many nations across the globe. As the situation rapidly evolves, the entire world is faced with difficult and challenging moment and the need to be safe from the disease. Several international efforts are geared towards the production of effective vaccine for curing the disease. But, pending the availability of such vaccine, the need to flatten the curves is now the top priority of both governmental and non-governmental organisations in Nigeria. Estimation of the basic reproduction number of the disease is crucial to understanding its dynamics and making suitable preventive policies that will slow the spread and ultimately flatten the curves. In this work, we propose a compartmental--based model for analysing the dynamics of the pandemics' second wave in Nigeria taking into consideration, the current control measures. Using the Quasi--Newton algorithm, the model is fitted to the available data provided by Nigeria Centre for Disease Control (NCDC), World Health Organization (WHO) and accessible on the Wolfram Data Repository. The basic reproduction number of the second wave of the disease in Nigeria is estimated using the model. The model was also used to estimate the infection rate, average latent time, average recovery rate and average mortality rate of the disease. Efficiency of the current control measures is also measured. Forecast of the turning points and possible vanishing time of the virus in Nigeria are made. The infection rate, average latent time, average recovery rate and average mortality rate of the disease are estimated. Also, the basic reproduction number of the disease in Nigeria is estimated. Predictions on the turning points and possible vanishing time of the virus in Nigeria are made. Recommendations on how to manage the resurgence of the disease in Nigeria are also suggested.

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Keywords

• Coronavirus
• COVID-19
• pandemic
• second Wave
• Nigeria

MSC

•  65L05
•  37M05
•  49M37

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