New Model for the COVID-19 Reported Cases and Deaths of Ghana in Accelerated Spread and Prediction of the Delayed Phase
Bosson-Amedenu Senyefia *
Department of Mathematical Sciences, University of Mines and Technology, P.O. Box 237, Tarkwa, Ghana.
Acquah Joseph
Department of Mathematical Sciences, University of Mines and Technology, P.O. Box 237, Tarkwa, Ghana.
Nyarko Christiana Cynthia
Department of Mathematical Sciences, University of Mines and Technology, P.O. Box 237, Tarkwa, Ghana.
Osei Asibey Eunice
Department of Mathematical Sciences, University of Mines and Technology, P.O. Box 237, Tarkwa, Ghana.
Oduro Okyireh Theodore
Department of Mathematical Sciences, University of Mines and Technology, P.O. Box 237, Tarkwa, Ghana.
Joseph Otoo
Department of Statistics and Actuarial Science, University of Ghana, P.O. Box LG 115, Legon, Accra, Ghana.
Teku Emmanuel
Department of Mathematics and Information and Communications Technology, Berekum College of Education, Berekum, Bono Region, Ghana.
Khaoula Briki
Department of Mathematics, College of Science, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, Dammam 31441, Saudi Arabia.
Okanta Dade Gifty
Premium Diabetic Clinic, Spintex-Accra Ghana.
Noureddine Ouerfelli
Institut Supérieur des Technologies Médicales de Tunis, LR13SE07, Laboratoire de Biophysique et Technologies Médicales, Université de Tunis El Manar, Tunis, Tunisia.
*Author to whom correspondence should be addressed.
Abstract
There is an ongoing investigation on the transmission characteristics of COVID-19 with respect to country-based inflection points, nature of distribution and prediction of future trends. In this study, a new accelerated and delayed spread models for COVID-19 reported cases and deaths in Ghana were developed. Optimization techniques coupled with interpolations, least square and non-linear regression methods, to come out with an informed modeling strategy to predict the delayed spread for the case of Ghana were adopted. Derivative and tangent methods were also applied to determine inflection points for Ghana’s cases and death from COVID-19. The data used for the study covered the first 250 days of events and interventions of the pandemic in Ghana. It was realized that the distribution of the COVID-19 situation in Ghana followed an exponential distribution curve. A modification of the developed model to help optimize the error between observed and estimated values yielded an improvement in the prediction of the delayed phase. Our derived parameters revealed that transmission of the virus between phases depended on changes in the precautionary measures and peoples' behaviors. The study thus shows that Ghana passed her inflection point of reported cases on Sunday 19th July, 2020 and may currently be in the delayed phase characterized with a staggering trend where new infections similar in magnitude to previous infections may upsurge. The correlation between reported cases and deaths revealed linear dependence with positive deviation between accelerated and delayed phases. In conclusion, the study predicted the commencement of a new wave in Ghana after Wednesday October 28, 2020 with higher intensity than what was previously observed if timely impositions of interventions to minimize the effect of the second wave are not taken.
Keywords: COVID-19, empirical modeling, causal correlation, accelerated spread, delayed spread, mortality, Ghana Case