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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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) |
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SEIR ODE model COVID-19 transmission convalescent plasma transfusion (CPT) Mathematics QA1-939 |
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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 |
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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 |
work_keys_str_mv |
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