Dynamical analysis of SEIAQR model with vaccination for COVID-19 spreading

Nur Shofianah; Wuryansari Muharini Kusumawinahyu; Indah Yanti; Anggit Eka Yulianti; Habib Hafadzi Tito; Athaya Putri Rahmadanti

doi:10.1063/5.0262266

Dynamical analysis of SEIAQR model with vaccination for COVID-19 spreading

Nur Shofianah^*
, Wuryansari Muharini Kusumawinahyu
, Indah Yanti
, Anggit Eka Yulianti
, Habib Hafadzi Tito
, Athaya Putri Rahmadanti

^*Corresponding author for this work

Faculty of Mathematics and Natural Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This research focus on the dynamical analysis of COVID-19 spreading by using SEIAQR model with vaccination. In this model, the human population consist of some subpopulations: susceptible, exposed, infected, asymptomatic, quarantined and recovered subpopulation. Firstly, we construct the model then analyze the dynamic of the model by determining the equilibrium points and the basic reproduction number R0. After that, the stability of the equilibrium points will be analyzed. Based on the dynamical analysis, there are two equilibrium points, namely the disease-free equilibrium point (DFE) and the endemic equilibrium point. The DFE is always exist, while the endemic equilibrium point exists when R0 > 1. The DFE is asymptotically stable, both locally and globally when R0 < 1. The endemic equilibrium point is locally asymptotically stable if it exists. Numerical simulation results support the dynamical analysis results that have been obtained.

Original language	English
Title of host publication	AIP Conference Proceedings
Editors	Bapan Ghosh, Agus Suryanto, Nuning Nuraini, Nur Shofianah
Publisher	American Institute of Physics
Edition	1
ISBN (Electronic)	9780735451520
DOIs	https://doi.org/10.1063/5.0262266
Publication status	Published - 17 Mar 2025
Event	10th International Symposium on Biomathematics, SYMOMATH 2023 - Malang, Indonesia Duration: 6 Aug 2023 → 8 Aug 2023

Publication series

Name	AIP Conference Proceedings
Number	1
Volume	3302
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	10th International Symposium on Biomathematics, SYMOMATH 2023
Country/Territory	Indonesia
City	Malang
Period	6/08/23 → 8/08/23

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

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10.1063/5.0262266

Cite this

Shofianah, N., Kusumawinahyu, W. M., Yanti, I., Yulianti, A. E., Tito, H. H., & Rahmadanti, A. P. (2025). Dynamical analysis of SEIAQR model with vaccination for COVID-19 spreading. In B. Ghosh, A. Suryanto, N. Nuraini, & N. Shofianah (Eds.), AIP Conference Proceedings (1 ed.). Article 020003 (AIP Conference Proceedings; Vol. 3302, No. 1). American Institute of Physics. https://doi.org/10.1063/5.0262266

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title = "Dynamical analysis of SEIAQR model with vaccination for COVID-19 spreading",

abstract = "This research focus on the dynamical analysis of COVID-19 spreading by using SEIAQR model with vaccination. In this model, the human population consist of some subpopulations: susceptible, exposed, infected, asymptomatic, quarantined and recovered subpopulation. Firstly, we construct the model then analyze the dynamic of the model by determining the equilibrium points and the basic reproduction number R0. After that, the stability of the equilibrium points will be analyzed. Based on the dynamical analysis, there are two equilibrium points, namely the disease-free equilibrium point (DFE) and the endemic equilibrium point. The DFE is always exist, while the endemic equilibrium point exists when R0 > 1. The DFE is asymptotically stable, both locally and globally when R0 < 1. The endemic equilibrium point is locally asymptotically stable if it exists. Numerical simulation results support the dynamical analysis results that have been obtained.",

author = "Nur Shofianah and Kusumawinahyu, \{Wuryansari Muharini\} and Indah Yanti and Yulianti, \{Anggit Eka\} and Tito, \{Habib Hafadzi\} and Rahmadanti, \{Athaya Putri\}",

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Shofianah, N , Kusumawinahyu, WM, Yanti, I, Yulianti, AE, Tito, HH & Rahmadanti, AP 2025, Dynamical analysis of SEIAQR model with vaccination for COVID-19 spreading. in B Ghosh, A Suryanto, N Nuraini & N Shofianah (eds), AIP Conference Proceedings. 1 edn, 020003, AIP Conference Proceedings, no. 1, vol. 3302, American Institute of Physics, 10th International Symposium on Biomathematics, SYMOMATH 2023, Malang, Indonesia, 6/08/23. https://doi.org/10.1063/5.0262266

Dynamical analysis of SEIAQR model with vaccination for COVID-19 spreading. / Shofianah, Nur ; Kusumawinahyu, Wuryansari Muharini; Yanti, Indah et al.
AIP Conference Proceedings. ed. / Bapan Ghosh; Agus Suryanto; Nuning Nuraini; Nur Shofianah. 1. ed. American Institute of Physics, 2025. 020003 (AIP Conference Proceedings; Vol. 3302, No. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Shofianah, Nur

AU - Kusumawinahyu, Wuryansari Muharini

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AU - Yulianti, Anggit Eka

AU - Tito, Habib Hafadzi

AU - Rahmadanti, Athaya Putri

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N2 - This research focus on the dynamical analysis of COVID-19 spreading by using SEIAQR model with vaccination. In this model, the human population consist of some subpopulations: susceptible, exposed, infected, asymptomatic, quarantined and recovered subpopulation. Firstly, we construct the model then analyze the dynamic of the model by determining the equilibrium points and the basic reproduction number R0. After that, the stability of the equilibrium points will be analyzed. Based on the dynamical analysis, there are two equilibrium points, namely the disease-free equilibrium point (DFE) and the endemic equilibrium point. The DFE is always exist, while the endemic equilibrium point exists when R0 > 1. The DFE is asymptotically stable, both locally and globally when R0 < 1. The endemic equilibrium point is locally asymptotically stable if it exists. Numerical simulation results support the dynamical analysis results that have been obtained.

AB - This research focus on the dynamical analysis of COVID-19 spreading by using SEIAQR model with vaccination. In this model, the human population consist of some subpopulations: susceptible, exposed, infected, asymptomatic, quarantined and recovered subpopulation. Firstly, we construct the model then analyze the dynamic of the model by determining the equilibrium points and the basic reproduction number R0. After that, the stability of the equilibrium points will be analyzed. Based on the dynamical analysis, there are two equilibrium points, namely the disease-free equilibrium point (DFE) and the endemic equilibrium point. The DFE is always exist, while the endemic equilibrium point exists when R0 > 1. The DFE is asymptotically stable, both locally and globally when R0 < 1. The endemic equilibrium point is locally asymptotically stable if it exists. Numerical simulation results support the dynamical analysis results that have been obtained.

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Dynamical analysis of SEIAQR model with vaccination for COVID-19 spreading

Abstract

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