Author: K. Asamoah, Joshua Kiddy; Bornaa, C. S.; Seidu, Baba; Jin, Zhen
Title: Mathematical Analysis of the Effects of Controls on Transmission Dynamics of SARS-CoV-2 Cord-id: z5cjqwqy Document date: 2020_9_30
ID: z5cjqwqy
Snippet: COVID-19, an infectious disease caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), starting from Wuhan city of China, plagued the world in the later part of 2019. We developed a deterministic model to study the transmission dynamics of the disease with two categories of the Susceptibles (ie immigrant Susceptibles and local Susceptible). The model is shown to have a globally stable disease-free equilibrium point whenever the basic reproduction number R 0 is less than unity. T
Document: COVID-19, an infectious disease caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), starting from Wuhan city of China, plagued the world in the later part of 2019. We developed a deterministic model to study the transmission dynamics of the disease with two categories of the Susceptibles (ie immigrant Susceptibles and local Susceptible). The model is shown to have a globally stable disease-free equilibrium point whenever the basic reproduction number R 0 is less than unity. The endemic equilibrium is also shown to be globally stable for R 0 > 1 under some conditions. The spread of the disease is also shown to be highly sensitive to use of PPEs and personal hygiene ( d ) , transmission probability ( β ) , average number of contacts of infected person per unit time (day) ( c ) , the rate at which the exposed develop clinical symptoms ( δ ) and the rate of recovery ( Ï ) . Numerical simulation of the model is also done to illustrate the analytical results established.
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