Comparative study of linear regression and SIR models of COVID-19 propagation in Ukraine before vaccination

Alireza Mohammadi, Ievgen Meniailov, Kseniia Bazilevych, Sergey Yakovlev, Dmytro Chumachenko

Abstract


The global COVID-19 pandemic began in December 2019 and spread rapidly around the world. Worldwide, more than 230 million people fell ill, 4.75 million cases were fatal. In addition to the threat to health, the pandemic resulted in social problems, an economic crisis and the transition of an ordinary life to a "new reality". Mathematical modeling is an effective tool for controlling the epidemic process of COVID-19 in specified territories. Modeling makes it possible to predict the future dynamics of the epidemic process and to identify the factors that affect the increase in incidence in the greatest way. The simulation results enable public health professionals to take effective evidence-based responses to contain the epidemic. The study aims to develop machine learning and compartment models of COVID-19 epidemic process and to investigate experimental results of simulation. The object of research is COVID-19 epidemic process and its dynamics in territory of Ukraine. The research subjects are methods and models of epidemic process simulation, which include machine learning methods and compartment models. To achieve this aim of the research, we have used machine learning forecasting methods and have built COVID-19 epidemic process linear regression model and COVID-19 epidemic process compartment model. Because of experiments with the developed models, the predictive dynamics of the epidemic process of COVID-19 for 30 days were obtained for confirmed cases, recovered and death. For ‘Confirmed’, ‘Recovered’ and ‘Death’ cases mean errors have almost 1.15, 0.037 and 1.39 percent deviant, respectively, with a linear regression model. For ‘Confirmed’, ‘Recovered’ and ‘Death’ cases mean errors have almost 3.29, 1.08, and 0.71 percent deviant, respectively, for the SIR model. Conclusions. At this stage in the development of the epidemic process of COVID-19, it is more expedient to use a linear model to predict the incidence rate, which has shown higher accuracy and efficiency, the reason for that lies on the fact that the used linear regression model for this research was implemented on merely 30 days (from fifteen days before 2nd of March) and not the whole dataset of COVID-19. Also, it is expected that if we try to forecast in longer time ranges, the linear regression model will lose precision. Alternatively, since SIR model is more comprised in including more factors, the model is expected to perform better in fore-casting longer time ranges.

Keywords


epidemic model; epidemic process; epidemic simulation; simulation; linear regression; SIR model; COVID-19

Full Text:

PDF

References


Gorbenko, A., Tarasyuk, O. Exploring timeout as a performance and availability factor of distributed replicated database systems. Radioelectronic and Computer systems, 2020, no. 4 (96), pp. 98-105. DOI: 10.32620/reks.2020.4.09.

Wawrzynski, T. Artificial intelligence and cyberculture. Radioelectronic and Computer systems, 2020, vol. 3, iss. 95, pp. 20-26. DOI: 10.32620/reks.2020.3.02

Izonin, I., Tkachenko, R., Dronyuk, I., Tkachenko, P., Gregus, M., Rashkevych, M. Predictive modeling based on small data in clinical medicine: RBF-based additive input-doubling method. Mathematical Biosciences and Engineering, 2021, vol. 18, iss. 3, pp. 2599-2613. DOI: 10.3934/mbe.2021132.

Liang, J. Multivariate linear regression method based on SPSS analysis of influencing factors of CPI during epidemic situation. 2020 2nd International Conference on Economic Management and Model Engineering (ICEMME), 2020, pp. 294-297, DOI: 10.1109/ICEMME51517.2020.00062.

Li, J. Construction of Big Data Epidemic Forecast and Propagation Model and Analysis of Risk Visualization Trend. 2020 International Conference on Advance in Ambient Computing and Intelligence (ICAACI), 2020, pp. 21-25, DOI: 10.1109/ICAACI50733.2020.00009.

Butov, D., Myasoedov, V., Gumeniuk, M., Gumeniuk, G., Choporova, O., Tkachenko, A., Akymenko, O., Borysova, O., Goptsii, O., Vorobiov, Y., Butova, T. Treatment effectiveness and outcome in patients with a relapse and newly diagnosed multidrug-resistant pulmonary tuberculosis. Medicinski Glasnik, 2020, vol. 17, iss. 2, pp. 356-362. DOI: 10.17392/1179-20.

Bondarenko, A. V., Pokhil, S. I., Lytvynenko, M. V., Bocharova, T. V., Gargin, V. V. Anaplasmosis: Experimental immunodeficient state model, Wiadomosci Lekarskie, 2019, vol. 72, iss. 9-2, pp. 1761-1764.

Kumari, K., Yadav, S. Linear regression analysis study. Journal of the Practice of Cardiovascular Sciences, 2018, vol. 4, iss. 1, pp. 33-36. DOI: 10.4103/jpcs.jpcs_8_18.

Yesina, V., Matveeva, N., Chumachenko, I., Manakova, N. Method of Data Openness Estimation Based on User-Experience in Infocommunication Systems of Municipal Enterprises. 2018 International Scientific-Practical Conference on Problems of Infocommunications Science and Technology, PIC S and T 2018 – Proceedings, 2019, pp. 171–176. DOI: 10.1109/INFOCOMMST.2018.8631897.

Hussein, B. A., Hasson, S. T. A Modeling and Simulation Approach to Analyze and Control Transition States in Epidemic Models. 2019 2nd International Conference on Engineering Technology and its Applications (IICETA), 2019, pp. 94-98, DOI: 10.1109/IICETA47481.2019.9012976.

Dhaka, A., Singh, P. Comparative Analysis of Epidemic Alert System using Machine Learning for Dengue and Chikungunya. 2020 10th International Conference on Cloud Computing, Data Science & Engineering (Confluence), 2020, pp. 798-804, DOI: 10.1109/Confluence47617.2020.9058048.

Jianyi, Y., Chenyang, W., Yupeng, H., Zicheng, L. Research on the relationship between Covid-19 epidemic and gold price trend based on Linear Regression Model. 2020 IEEE 9th Joint International Information Technology and Artificial Intelligence Conference (ITAIC), 2020, pp. 1796-1798. DOI: 10.1109/ITAIC49862.2020.9338828.

Zou, Y., Gong, X., Miao, P., Liu, Y. Using TensorFlow to Establish multivariable linear regression model to Predict Gestational Diabetes. 2020 IEEE 4th Information Technology, Networking, Electronic and Automation Control Conference (ITNEC), 2020, pp. 1695-1698. DOI: 10.1109/ITNEC48623.2020.9084664.

Sharma, A., Chaudhary, N. Linear Regression Model for Agile Software Development Effort Estimation. 2020 5th IEEE International Conference on Recent Advances and Innovations in Engineering (ICRAIE), 2020, pp. 1-4. DOI: 10.1109/ICRAIE51050.2020.9358309.

Fedushko, S., Ustyianovych, T. Operational Intelligence Software Concepts for Continuous Healthcare Monitoring and Consolidated Data Storage Ecosystem. Advances in Intelligent Systems and Computing, 2021, vol. 1247, pp. 545-557. DOI: 10.1007/978-3-030-55506-1_49.

Liu, T. U.S. Pandemic Prediction Using Regression and Neural Network Models. 2020 International Conference on Intelligent Computing and Human-Computer Interaction (ICHCI), 2020, pp. 351-354, DOI: 10.1109/ICHCI51889.2020.00080.

Mandayam, A. U., Siddesha, S., Niranjan, S. K. Prediction of Covid-19 pandemic based on Regression. 2020 Fifth International Conference on Research in Computational Intelligence and Communication Networks (ICRCICN), 2020, pp. 1-5. DOI: 10.1109/ICRCICN50933.2020.9296175.

Liu, Z., Zuo, J., Lv, R., Sun, Y., Kang, H. Research on Time Series Problem Model Based on Dynamic Network NAR and Multiple Regression. 2020 International Conference on Artificial Intelligence and Computer Engineering (ICAICE), 2020, pp. 416-419. DOI: 10.1109/ICAICE51518.2020.00088.

Xue, H., Bai, Y., Hu, H., Liang, H. Influenza Activity Surveillance Based on Multiple Regression Model and Artificial Neural Network. IEEE Access, 2018, vol. 6, pp. 563-575. DOI: 10.1109/ACCESS.2017.2771798.

Kharchenko, V., Gorbenko, A., Sklyar, V., Phillips, C. Green computing and communications in critical application domains: Challenges and solutions. International Conference on Digital Technologies, 2013, pp. 191-197. DOI: 10.1109/DT.2013.6566310.

Akman, C., Demir, O., Sönmez, T. Covid-19 SEIQR Spread Mathematical Model. 2021 29th Signal Processing and Communications Applications Conference (SIU), 2021, pp. 1-4, DOI: 10.1109/SIU53274.2021.9477975.

Sano, H., Wakaiki, M. State Estimation of Kermack-McKendrick PDE Model With Latent Period and Observation Delay. IEEE Transactions on Automatic Control, 2020, vol. 66, no. 10, pp. 4982-4989. DOI: 10.1109/TAC.2020.3047360.

Guo, Y., Liu, N., Jiao, H. Global stability analysis of a class of SIRS models with nonlinear incidence. 2020 International Conference on Public Health and Data Science (ICPHDS), 2020, pp. 269-272. DOI: 10.1109/ICPHDS51617.2020.00059.

Sokoliuk, A., Kondratenko, G., Sidenko, I., Kondratenko, Y., Khomchenko, A., Atamanyuk, I. Machine Learning Algorithms for Binary Classification of Liver Disease. 2020 IEEE International Conference on Problems of Infocommunications. Science and Technology (PIC S&T), 2020, pp. 417-421. DOI: 10.1109/PICST51311.2020.9468051.

Nan, X., Zehong, Z., Zhigeng, P. Dynamic Crowd Aggregation Simulation Using SIR Model Based Emotion Contagion. 2017 International Conference on Virtual Reality and Visualization (ICVRV), 2017, pp. 352-353. DOI: 10.1109/ICVRV.2017.00080

Rodrigues, H. S. Application of SIR epidemiological model: new trends. International Journal of Applied Mathematics and Informatics, 2016, vol. 10, pp. 92-97.

Yeling, L., Jing, W. SIR Infectious Disease Model Based on Age Structure and Constant Migration Rate and its Dynamics Properties. 2020 International Conference on Public Health and Data Science (ICPHDS), 2020, pp. 158-165. DOI: 10.1109/ICPHDS51617.2020.00039.

Yang, Y., Zhang, H. Mathematical Models and Control Methods of Infectious Diseases. 2020 5th International Conference on Automation, Control and Robotics Engineering (CACRE), 2020, pp. 383-388. DOI: 10.1109/CACRE50138.2020.9230170.

Yakovlev, S., Bazilevych, K., Chumachenko, D., Chumachenko, T., Hulianytskyi, L., Meniailov, I., Tkachenko, A. The concept of developing a decision support system for the epidemic morbidity control. CEUR Workshop Proceedings, 2020, vol. 2753, pp. 265–274.




DOI: https://doi.org/10.32620/reks.2021.3.01

Refbacks

  • There are currently no refbacks.