ITM Web Conf.
Volume 58, 2024The 6th IndoMS International Conference on Mathematics and Applications (The 6th IICMA 2023)
|Number of page(s)
|09 January 2024
Stability Analysis of Covid-19 Model Based on Compliance and Carrier Transmission
1 Mathematics Graduate Program, Universitas Syiah Kuala, Banda Aceh, Nangroe Aceh Darussalam, Indonesia
2 Department of Mathematics, Universitas Syiah Kuala, Banda Aceh, Nangroe Aceh Darussalam, Indonesia
* Corresponding author: email@example.com
The Covid-19 pandemic has officially ended with the lifting of the Public Health Emergency of International Concern (PHEIC) status by the World Health Organization (WHO). The world has begun the transition from a pandemic to an endemic period through policy updates such as healthy living habits, wearing masks if sick, vaccination, self-quarantine, contact tracing or testing, increasing understanding or awareness of diseases and treatment. This research aims to analyze the role of individuals in the pandemic transition period and the addition of the Carrier subpopulation to the COVID-19 model. This model produces two equilibrium points: a disease-free equilibrium points and an endemic equilibrium point. Furthermore, stability analysis was carried out around the equilibrium point and obtained three basic reproduction numbers that became the threshold for the spread of disease around the equilibrium point, namely R0 less than one (R0 < 1) and greater than one (R0 > 1). This shows that increasing policies such as disease awareness or understanding, healthy living habits, and vaccination can prevent the spread of COVID-19 so that the pandemic period does not occur and the disease will disappear over time.
© The Authors, published by EDP Sciences, 2024
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.
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