Mathematical Model Incorporating Screening of International Travellers using RT-PCR Test As A Control against the Spread Of Covid -19

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dc.contributor.authorKimathi, George
dc.contributor.authorMutinda, Anne Ndunge
dc.contributor.authorOloo, Joseph
dc.date.accessioned2024-05-13T11:28:26Z
dc.date.available2024-05-13T11:28:26Z
dc.date.issued2022
dc.descriptionJournal Article
dc.description.abstractA 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.
dc.identifier.citationMutinda 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
dc.identifier.issn2394-9651
dc.identifier.urihttps://repository.daystar.ac.ke/handle/123456789/4614
dc.language.isoen
dc.publisherInternational Journal of Novel Research in Physics Chemistry & Mathematics
dc.relation.ispartofseriesVol. 9, Issue 2
dc.subjectCOVID-19 spread dynamics
dc.subjectmathematical modelling
dc.subjectepidemiological modelling
dc.subjectRT-PCR screening modelling.
dc.titleMathematical Model Incorporating Screening of International Travellers using RT-PCR Test As A Control against the Spread Of Covid -19
dc.typeArticle

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