The COVID-19 pandemic posed a serious threat to health and the global economy of the affected nations. Despite several measures to mitigate the transmission of the disease, there is a rise in the number of infections and death remain tremendous worldwide. This study used a deterministic model based on Susceptible-Latent-Infected-Hospitalized-Vaccinated-Recovered (SLIHVR) model to investigate the dynamics of the disease in Ghana. Data from daily reported cases of COVID-19 in Ghana between 15 March and 31 March 2021 were used to estimate the parameters of the model. Numerical simulations of the model were carried out by implementing the MATLAB ODE45 algorithm for solving non-stiff ordinary differential equations. The numerical simulation of the model was done to ascertain the long-run evolution of COVID-19. The findings indicated that the disease-free equilibrium was locally asymptotically stable whenever Rn<1 and the endemic equilibrium was asymptotically stable provided Rn>1. The was useful in understanding the dynamic mechanisms of the transmission and prevention of COVID-19 infection in Ghana. The study concluded that vaccinating a larger proportion of the populace was needed to control the disease.
| Published in | American Journal of Applied Mathematics (Volume 11, Issue 6) |
| DOI | 10.11648/j.ajam.20231106.13 |
| Page(s) | 119-129 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
COVID-19 SLIHRV Transmission Dynamics, Stability Analysis, Simulation
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APA Style
Danso-Addo, E., Boadi, S., Cobbinah, J. (2023). A Mathematical Model of the Transmission of COVID-19 in Ghana. American Journal of Applied Mathematics, 11(6), 119-129. https://doi.org/10.11648/j.ajam.20231106.13
ACS Style
Danso-Addo, E.; Boadi, S.; Cobbinah, J. A Mathematical Model of the Transmission of COVID-19 in Ghana. Am. J. Appl. Math. 2023, 11(6), 119-129. doi: 10.11648/j.ajam.20231106.13
AMA Style
Danso-Addo E, Boadi S, Cobbinah J. A Mathematical Model of the Transmission of COVID-19 in Ghana. Am J Appl Math. 2023;11(6):119-129. doi: 10.11648/j.ajam.20231106.13
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Download@article{10.11648/j.ajam.20231106.13,
author = {Ernest Danso-Addo and Samuella Boadi and John Cobbinah},
title = {A Mathematical Model of the Transmission of COVID-19 in Ghana},
journal = {American Journal of Applied Mathematics},
volume = {11},
number = {6},
pages = {119-129},
doi = {10.11648/j.ajam.20231106.13},
url = {https://doi.org/10.11648/j.ajam.20231106.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20231106.13},
abstract = {The COVID-19 pandemic posed a serious threat to health and the global economy of the affected nations. Despite several measures to mitigate the transmission of the disease, there is a rise in the number of infections and death remain tremendous worldwide. This study used a deterministic model based on Susceptible-Latent-Infected-Hospitalized-Vaccinated-Recovered (SLIHVR) model to investigate the dynamics of the disease in Ghana. Data from daily reported cases of COVID-19 in Ghana between 15 March and 31 March 2021 were used to estimate the parameters of the model. Numerical simulations of the model were carried out by implementing the MATLAB ODE45 algorithm for solving non-stiff ordinary differential equations. The numerical simulation of the model was done to ascertain the long-run evolution of COVID-19. The findings indicated that the disease-free equilibrium was locally asymptotically stable whenever RnRn>1. The was useful in understanding the dynamic mechanisms of the transmission and prevention of COVID-19 infection in Ghana. The study concluded that vaccinating a larger proportion of the populace was needed to control the disease.
},
year = {2023}
}
TY - JOUR T1 - A Mathematical Model of the Transmission of COVID-19 in Ghana AU - Ernest Danso-Addo AU - Samuella Boadi AU - John Cobbinah Y1 - 2023/12/08 PY - 2023 N1 - https://doi.org/10.11648/j.ajam.20231106.13 DO - 10.11648/j.ajam.20231106.13 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 119 EP - 129 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20231106.13 AB - The COVID-19 pandemic posed a serious threat to health and the global economy of the affected nations. Despite several measures to mitigate the transmission of the disease, there is a rise in the number of infections and death remain tremendous worldwide. This study used a deterministic model based on Susceptible-Latent-Infected-Hospitalized-Vaccinated-Recovered (SLIHVR) model to investigate the dynamics of the disease in Ghana. Data from daily reported cases of COVID-19 in Ghana between 15 March and 31 March 2021 were used to estimate the parameters of the model. Numerical simulations of the model were carried out by implementing the MATLAB ODE45 algorithm for solving non-stiff ordinary differential equations. The numerical simulation of the model was done to ascertain the long-run evolution of COVID-19. The findings indicated that the disease-free equilibrium was locally asymptotically stable whenever RnRn>1. The was useful in understanding the dynamic mechanisms of the transmission and prevention of COVID-19 infection in Ghana. The study concluded that vaccinating a larger proportion of the populace was needed to control the disease. VL - 11 IS - 6 ER -
Department of Mathematical Science, University of Mines and Technology, Tarkwa, Ghana
Department of Mathematical Sciences, Ball State University, Muncie, US
Department of Mathematical Sciences, Ball State University, Muncie, US
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