Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)

Analysis of Herd Immunity on the Mathematical Model of Covid-19 Transmission

Authors
Mia Siti Khumaeroh, Ahmad Firdaus
Corresponding Author
Mia Siti Khumaeroh
Available Online 11 May 2021.
DOI
10.2991/assehr.k.210508.050How to use a DOI?
Keywords
Herd Immunity, Covid-19, Mathematical Model, SEIR
Abstract

Many countries in the world, especially Indonesia, are still experiencing an increase number of Covid-19 cases despite the government has implemented many policies, such as an appeal for self-prevention, physical distancing, quarantine and large-scale social restrictions (LSSR) in several areas. Besides the health sector, this change in behavior or activity also has a major impact on other sectors such as education, tourism, economy etc. Herd Immunity, where a group in the population is given a treatment so that their body will be resistant to the virus, becomes another alternative to end this Covid-19 pandemic. In this study, we analyzed a mathematical model of corona virus transmission by involving the herd immunity factor. There are two schemes: (1) by using vaccines and (2) by allowing the virus to spread in the population and the result is the infected population have the immunity. The simulation results show that the use of vaccines can drastically reduce the number of infected individuals. On the other hand, the absence of virus transmission control can increase the number of exposed and infected individuals. However, in terms of time, this scheme will make Covid-19 cases decrease faster than other schemes.

Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)
Series
Advances in Social Science, Education and Humanities Research
Publication Date
11 May 2021
ISBN
978-94-6239-378-3
ISSN
2352-5398
DOI
10.2991/assehr.k.210508.050How to use a DOI?
Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Mia Siti Khumaeroh
AU  - Ahmad Firdaus
PY  - 2021
DA  - 2021/05/11
TI  - Analysis of Herd Immunity on the Mathematical Model of Covid-19 Transmission
BT  - Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)
PB  - Atlantis Press
SP  - 105
EP  - 109
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.210508.050
DO  - 10.2991/assehr.k.210508.050
ID  - Khumaeroh2021
ER  -