Proceedings of the International Conference of Mathematics and Mathematics Education (I-CMME 2021)

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Analysis and Simulation of SIR Epidemic Model by Considering Comorbidities

Authors
Yudi Ari Adi1, Dita Nur Avina2, Ario Wiraya3, *, Laila Fitriana4, Triyanto5
1,2Department of Mathematics, Ahmad Dahlan University, Yogyakarta, Indonesia
3,4,5Department of Mathematics Education, Sebelas Maret University, Surakarta, Indonesia
*Corresponding author. Email: ariowiraya@staff.uns.ac.id
Corresponding Author
Ario Wiraya
Available Online 23 November 2021.
DOI
10.2991/assehr.k.211122.043How to use a DOI?
Keywords
Epidemic model; SIR; Comorbidities; Simulation
Abstract

Comorbidities have an influence on progression of infectious disease suffered by the patients. In this paper, we construct and analyze the SIR epidemic model by considering comorbidities in infected patients to characterize the infectious disease progression with comorbidities intervention as a consideration in determining the appropriate treatment. By determining the formula of the basic reproduction number, the conditions which represent stability of the disease-free equilibrium point and the disease equilibrium point are identified. Furthermore, the sufficient and necessary condition for local and global stability of disease-free equilibrium points and local stability of both non-comorbidities and comorbidities endemic equilibrium points are investigated. Theoretical findings of this research are supported by performing numerical simulations as an illustration of the dynamics which occur on the model solution.

Copyright
© 2021 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article under the CC BY-NC license.

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Volume Title
Proceedings of the International Conference of Mathematics and Mathematics Education (I-CMME 2021)
Series
Advances in Social Science, Education and Humanities Research
Publication Date
23 November 2021
ISBN
10.2991/assehr.k.211122.043
ISSN
2352-5398
DOI
10.2991/assehr.k.211122.043How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article under the CC BY-NC license.

Cite this article

risenwbib
TY  - CONF
AU  - Yudi Ari Adi
AU  - Dita Nur Avina
AU  - Ario Wiraya
AU  - Laila Fitriana
AU  - Triyanto
PY  - 2021
DA  - 2021/11/23
TI  - Analysis and Simulation of SIR Epidemic Model by Considering Comorbidities
BT  - Proceedings of the International Conference of Mathematics and Mathematics Education (I-CMME 2021)
PB  - Atlantis Press
SP  - 307
EP  - 312
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.211122.043
DO  - 10.2991/assehr.k.211122.043
ID  - Adi2021
ER  -