Mathematical Model Incorporating Screening of International Travellers using RT-PCR Test As A Control against the Spread Of Covid -19
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Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
International Journal of Novel Research in Physics Chemistry & Mathematics
Abstract
A worldwide pandemic called COVID-19 has afflicted humanity in various aspects of life. There exists, several mathematical models aimed at limiting the transference of COVID-19.This research brings in, the intervention of RT-PCR screening of international travelers seeking to identify the infected at the beginning phases of infection, to lower the rate of its spread led by high mobility of human beings, therefore, the novelty is on RT-PCR screening as a control measure. We create and examine a SPEIR model for COVID 19 dynamics incorporating RT-PCR screening and apply the results to explore COVID-19 dynamics in the presence of screening of international travelers. The model includes five time dependent compartments Susceptible(S),Screened(P), Exposed(E), Infected(I) and Recovered (R).We developed the basic reproduction number and investigated the existence of all the equilibrium points; the disease free equilibrium and endemic equilibrium and determined their stabilities. The epidemic model’s system of differential equations was subjected to numerical simulations by use of Matlab. The interpretation and comparison to the qualitative solutions was done and the outcome after the analysis is that RT-PCR screening revealed a clear picture of the evolution and spread of COVID-19,with its infections having fallen off significantly. This study shows that RT-PCR screening of travelers is paramount in preventing the spread of COVID-19.
Description
Journal Article
Keywords
COVID-19 spread dynamics, mathematical modelling, epidemiological modelling, RT-PCR screening modelling.
Citation
Mutinda A. N., Oloo J., Kimathi G. (2022): Mathematical Model Incorporating Screening of International Travellers using RT-PCR Test As A Control against the Spread Of Covid -19. International Journal of Novel Research in Physics Chemistry & Mathematics