SEIR Mathematical Model of Convalescent Plasma Transfusion to Reduce COVID-19 Disease Transmission

In some diseases, due to the restrictive availability of vaccines on the market (e.g., during the early emergence of a new disease that may cause a pandemic such as COVID-19), the use of plasma transfusion is among the available options for handling such a disease. In this study, we developed an SEI...

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Autores principales: Hennie Husniah, Ruhanda Ruhanda, Asep K. Supriatna, Md. H. A. Biswas
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Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/662fe03fac63470a9363da3a07db45a3
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spelling oai:doaj.org-article:662fe03fac63470a9363da3a07db45a32021-11-25T18:16:36ZSEIR Mathematical Model of Convalescent Plasma Transfusion to Reduce COVID-19 Disease Transmission10.3390/math92228572227-7390https://doaj.org/article/662fe03fac63470a9363da3a07db45a32021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2857https://doaj.org/toc/2227-7390In some diseases, due to the restrictive availability of vaccines on the market (e.g., during the early emergence of a new disease that may cause a pandemic such as COVID-19), the use of plasma transfusion is among the available options for handling such a disease. In this study, we developed an SEIR mathematical model of disease transmission dynamics, considering the use of convalescent plasma transfusion (CPT). In this model, we assumed that the effect of CPT increases patient survival or, equivalently, leads to a reduction in the length of stay during an infectious period. We attempted to answer the question of what the effects are of different rates of CPT applications in decreasing the number of infectives at the population level. Herein, we analyzed the model using standard procedures in mathematical epidemiology, i.e., finding the trivial and non-trivial equilibrium points of the system including their stability and their relation to basic and effective reproduction numbers. We showed that, in general, the effects of the application of CPT resulted in a lower peak of infection cases and other epidemiological measures. As a consequence, in the presence of CPT, lowering the height of an infective peak can be regarded as an increase in the number of remaining healthy individuals; thus, the use of CPT may decrease the burden of COVID-19 transmission.Hennie HusniahRuhanda RuhandaAsep K. SupriatnaMd. H. A. BiswasMDPI AGarticleSEIR ODE modelCOVID-19 transmissionconvalescent plasma transfusion (CPT)MathematicsQA1-939ENMathematics, Vol 9, Iss 2857, p 2857 (2021)
institution DOAJ
collection DOAJ
language EN
topic SEIR ODE model
COVID-19 transmission
convalescent plasma transfusion (CPT)
Mathematics
QA1-939
spellingShingle SEIR ODE model
COVID-19 transmission
convalescent plasma transfusion (CPT)
Mathematics
QA1-939
Hennie Husniah
Ruhanda Ruhanda
Asep K. Supriatna
Md. H. A. Biswas
SEIR Mathematical Model of Convalescent Plasma Transfusion to Reduce COVID-19 Disease Transmission
description In some diseases, due to the restrictive availability of vaccines on the market (e.g., during the early emergence of a new disease that may cause a pandemic such as COVID-19), the use of plasma transfusion is among the available options for handling such a disease. In this study, we developed an SEIR mathematical model of disease transmission dynamics, considering the use of convalescent plasma transfusion (CPT). In this model, we assumed that the effect of CPT increases patient survival or, equivalently, leads to a reduction in the length of stay during an infectious period. We attempted to answer the question of what the effects are of different rates of CPT applications in decreasing the number of infectives at the population level. Herein, we analyzed the model using standard procedures in mathematical epidemiology, i.e., finding the trivial and non-trivial equilibrium points of the system including their stability and their relation to basic and effective reproduction numbers. We showed that, in general, the effects of the application of CPT resulted in a lower peak of infection cases and other epidemiological measures. As a consequence, in the presence of CPT, lowering the height of an infective peak can be regarded as an increase in the number of remaining healthy individuals; thus, the use of CPT may decrease the burden of COVID-19 transmission.
format article
author Hennie Husniah
Ruhanda Ruhanda
Asep K. Supriatna
Md. H. A. Biswas
author_facet Hennie Husniah
Ruhanda Ruhanda
Asep K. Supriatna
Md. H. A. Biswas
author_sort Hennie Husniah
title SEIR Mathematical Model of Convalescent Plasma Transfusion to Reduce COVID-19 Disease Transmission
title_short SEIR Mathematical Model of Convalescent Plasma Transfusion to Reduce COVID-19 Disease Transmission
title_full SEIR Mathematical Model of Convalescent Plasma Transfusion to Reduce COVID-19 Disease Transmission
title_fullStr SEIR Mathematical Model of Convalescent Plasma Transfusion to Reduce COVID-19 Disease Transmission
title_full_unstemmed SEIR Mathematical Model of Convalescent Plasma Transfusion to Reduce COVID-19 Disease Transmission
title_sort seir mathematical model of convalescent plasma transfusion to reduce covid-19 disease transmission
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/662fe03fac63470a9363da3a07db45a3
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