SIR Model Parameters Estimation with COVID-19 Data
Nilson C. Roberty, Lucas S. F. de Araujo
Journal of Advances in Mathematics and Computer Science · pp. 97–117 · Published 24 Apr 2021
10.9734/jamcs/2021/v36i330349Abstract
Based on the SIR model that divides the population into susceptible, infected and removed individuals, data about the evolution of the pandemic compiled by the Johns Hopkins University Center for Systems Science and Engineering (JHUCSSE) are integrated into the numerical system solution. The system parameters Rate of Contact β, Basic Reproduction Number R0 and Removal Rate γ, also named Rate of Decay, are determined according to a ridge regression approach and a mobile statistical scheme with different averages. Data is automatically downloaded from https://raw.githubusercontent.com/CSSEGISandData/COVID-19. The main Python libraries used are Numpy, Pandas, Skit-Learn, Requests and Urllib.
References (11)
- 1 A contribution to the mathematical theory of epidemics [DOI]
- 2 Mathematical Models in Population Biology and Epidemiology [DOI]
- 3 Python Machine Learning
- 4 Data-driven science and engineering: machine learning, dynamical systems, and control [DOI]
- 5 Nonautonomous Dynamical Systems [DOI]
- 6 Statistical and Computational Inverse Problems [DOI]
- 7 A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis [DOI]
- 8 A stochastic SIRS epidemic model with infectious force under intervention strategies [DOI]
- 9 Analytical features of the SIR model and their applications to COVID-19 [DOI]
- 10 Learning Scientific Programming with Python [DOI]
- 11 Comments on some analytical and numerical aspects of the SIR model [DOI]
Cited by 7
T. Lazebnik, Labib Shami, S. Bunimovich-Mendrazitsky · International Journal of Applied Mathematics and Computer Sciences · 2023
T. Lazebnik · Ecological Modelling · 2023
Yan Wang, Gui-Juan Lu, Jiang Du · Mathematical biosciences and engineering : MBE · 2022
Young-Soon Hwang, Soobin Kwak, Junseok Kim · Journal of Healthcare Engineering · 2021
Showing 4 of 7 known citations — external sources report more than can currently be individually listed.
Related research
- COVID 19 Disease Caused by Coronavirus 2 (SARS-CoV-2) (Severe Acute Respiratory Syndrome) — shares topic coverage
- Assessment of Anxiety in Healthcare Providers Working in ICU during COVID-19 Pandemics — shares topic coverage
- Azithromycin and Hydroxychloroquine Accelerate Recovery of Outpatients with Mild/Moderate COVID-19 — shares topic coverage
- Elevated Levels of Lactate Dehydrogenase Predicts Poor Outcomes for Patients with COVID-19: A Review — shares topic coverage
- Addressing the Challenges of Containing Covid-19 Spread in a Rural, Poor Area in India: A Case Study — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
7
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.