Mathematical modelling of the COVID‑19 pandemic with demographic efects | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 29, Issue 1, 2021, Page 1-13 PDF (2.08 MB) | ||||
| Document Type: Original Article | ||||
| DOI: 10.1186/s42787-021-00118-7 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| Abdul A. Kamara* 1; Lagès N. Mouanguissa2; Godfrey Okumu Barasa3 | ||||
| 1Department of Mathematics and Statistics, Fourah Bay College, University of Sierra Leone, Freetown, Sierra Leone. | ||||
| 2Department of Mathematics, Ecole Normale Superieure Université Marien Ngouabi, Brazzaville, Congo. | ||||
| 3Department of Physical Sciences, Jaramogi Oginga Odinga University of Science and Technology, Bondo, Kenya. | ||||
| Abstract | ||||
| In this paper, a latent infection susceptible–exposed–infectious–recovered model with demographic efects is used to understand the dynamics of the COVID-19 pandemics. We calculate the basic reproduction number (R0) by solving the diferential equations of the model and also using next-generation matrix method. We also prove the global stability of the model using the Lyapunov method. We showed that when the R0 < 1 or R0 ≤ 1 and R0 > 1 or R0 ≥ 1 the disease-free and endemic equilibria asymptotic stability exist theoretically. We provide numerical simulations to demonstrate the detrimental impact of the direct and latent infections for the COVID-19 pandemic. | ||||
| Keywords | ||||
| Mathematical modelling; COVID-19; Demographic efects; Asymptotic stability | ||||
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