Analysis and Simulation of SIR Epidemic Model by Considering Comorbidities
- 10.2991/assehr.k.211122.043How to use a DOI?
- Epidemic model; SIR; Comorbidities; Simulation
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.
- © 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
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 -