[PDF][PDF] Mathematical modeling of COVID-19 transmission dynamics with social distance as an intervention

HO Nyaberi, CM Wachira - Int. J. Rec. Res. Math. Comput …, 2021 - paperpublications.org
HO Nyaberi, CM Wachira
Int. J. Rec. Res. Math. Comput. Sci. Inf. Technol, 2021paperpublications.org
The dynamics of coronavirus (COVID-19) infection with social distance as an intervention
are studied using a mathematical model based on a system of ordinary differential
equations. The next generation matrix technique is used to calculate the fundamental
reproduction number. The existence of the model's steady states is established, and the
model's stability is investigated. The disease free (DFE) and endemic equilibrium (EE) points
are found to be locally asymptotically stable using the Routh-Hurwitz criterion and center …
Abstract
The dynamics of coronavirus (COVID-19) infection with social distance as an intervention are studied using a mathematical model based on a system of ordinary differential equations. The next generation matrix technique is used to calculate the fundamental reproduction number. The existence of the model’s steady states is established, and the model’s stability is investigated. The disease free (DFE) and endemic equilibrium (EE) points are found to be locally asymptotically stable using the Routh-Hurwitz criterion and center manifold theory, respectively. The model’s numerical simulation revealed that social distance has a significant impact in COVID-19 transmission decrease.
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