E3S Web Conf.
Volume 328, 2021International Conference on Science and Technology (ICST 2021)
|Number of page(s)||5|
|Section||Mathematic Model, Learning Modelep, Epidemic Model|
|Published online||06 December 2021|
Epidemic Model Analysis of Covid-19
1 Mathematics Department, Universitas Negeri Surabaya, Surabaya, Indonesia
2 Faculty of Business, Study Program of Actuarial Science, President University, Cikarang, Bekasi, Indonesia
* Corresponding author : email@example.com
Covid-19 is a very extraordinary case not only in one country but all countries in the world. The number of deaths caused by Covid-19 is very large and the rate of spread of this disease is very high and fast. In this paper, we perform an analysis of a covid-19 epidemic model. This model is a development of the SEIR model in general which is equipped with a Quarantine (Q), Fatality (F) compartment, and there is a separation between detected and undetected infected people (I). Our analysis shows that there are two equilibria, namely, disease free equilibrium and endemic equilibrium. by using, Lyapunov function, we demonstrated that disease free is globally asymptotically stable if R0 < 1, and disease-free becomes unstable if R0 > 1. This result reveal that the intervention of infection rate and quarantine process are important to control and achieve global stability of disease-free equilibrium
Key words: Covid-19 / Epidemic Model / SEIR
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.