Containing SARS COV 2 (COVID 19) through Social Distancing
Daniel Achola *
Kabarak University, Private Bag-20157, Nakuru, Kenya.
*Author to whom correspondence should be addressed.
Abstract
2019-nCoV/SARS-CoV2 is a highly pathogenic human corona virus transmitted by respiratory droplets with an incubation period of 2-14 days. It is both a public health and economic threat worldwide. In this study, a deterministic mathematical model based on systems of ordinary differential equations for the dynamics of 2019-nCoV/SARS-CoV2 transmission incorporating social distancing as a control measure has been derived. The steady states have also been analysed for stability using the basic reproduction number. Numerical simulations carried out using MATLAB R2021b shows that social distancing intervention is key to reduction in the infection rate of 2019-nCoV/SARS-nCoV2. This study recommends implementation of public policies on public gatherings such as political rallies, worship centers,market places, football matches to curb the potential chain transmission in a pandemic contagion.
Keywords: Basic reproduction number, Lyapunov functions, global stability, mathematical modeling