Comparative study of physics-based model and machine learning model for epidemic forecasting and countermeasure

被引:0
作者
Yiwen Tao
Huaiping Zhu
Jingli Ren
机构
[1] Zhengzhou University,School of Mathematics and Statistics
[2] York University,Department of Mathematics and Statistics
来源
Computational and Applied Mathematics | 2024年 / 43卷
关键词
Physics-based model; Machine learning model; Disease dynamics; Forecasting; Countermeasure; 35B05; 92D30;
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摘要
Forecasting the transmission patterns of infectious diseases is of paramount importance in gaining valuable insights into outbreak growth and optimizing the allocation of medical resources. In this paper, we conduct a comparative study between a physics-based model and a machine learning (ML) model for epidemic forecasting and countermeasures, considering criteria such as accuracy and practicality. We develop four ML models: back-propagation (BP), long short-term memory, support vector machine, and extreme learning machine. In addition, we propose a reaction–diffusion (R–D) model that incorporates factors such as susceptibility heterogeneity, lockdown measures, population movement, and dynamically dependent rates. The experimental results highlight the superior accuracy of the BP model for forecasting, while the R–D model provides comprehensive insights into disease dynamics, including stability and potential control strategies.
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[1]  
Aguiar M(2022)The role of mild and asymptomatic infections on COVID-19 vaccines performance: a modeling study J Adv Res 39 157-166
[2]  
Van-Dierdonck JB(2016)Stability analysis of a reaction-diffusion equation with spatiotemporal delay and Dirichlet boundary condition J Dyn Differ Equ 28 857-866
[3]  
Mar J(2021)A survey on mathematical, machine learning and deep learning models for COVID-19 transmission and diagnosis IEEE Rev Biomed Eng 15 325-340
[4]  
Stollenwerk N(2022)Non-pharmaceutical intervention levels to reduce the COVID-19 attack ratio among children R Soc Open Sci 9 297-333
[5]  
Chen S(1996)A predator-prey reaction-diffusion system with nonlocal effects J Math Biol 34 1515-1553
[6]  
Yu J(2020)Applications of machine learning and artificial intelligence for Covid-19 (SARS-CoV-2) pandemic: a review Chaos Solitons Fractals 139 982-988
[7]  
Clement JC(2022)Comparative study of a mathematical epidemic model, statistical modeling, and deep learning for COVID-19 forecasting and management Socio-Econ Plan Sci 80 206-215
[8]  
Ponnusamy V(2013)Quasilinear parabolic and elliptic systems with mixed quasimonotone functions J Differ Equ 255 1-32
[9]  
Sriharipriya K(2021)A comparison: prediction of death and infected COVID-19 cases in Indonesia using time series smoothing and LSTM neural network Procedia Comput Sci 179 229-2432
[10]  
Nandakumar R(2019)Stop explaining black box machine learning models for high stakes decisions and use interpretable models instead Nat Mach Intell 1 2405-854