Research output: Contribution to journal › Article › peer-review
Forecasting a New Type of Virus Spread: A Case Study of COVID-19 with Stochastic Parameters. / Захаров, Виктор Васильевич; Балыкина, Юлия Ефимовна; Ilin, Igor; Tick, Andrea .
In: Mathematics, Vol. 10, No. 20, 3725, 11.10.2022.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Forecasting a New Type of Virus Spread: A Case Study of COVID-19 with Stochastic Parameters
AU - Захаров, Виктор Васильевич
AU - Балыкина, Юлия Ефимовна
AU - Ilin, Igor
AU - Tick, Andrea
N1 - Publisher Copyright: © 2022 by the authors.
PY - 2022/10/11
Y1 - 2022/10/11
N2 - The consideration of infectious diseases from a mathematical point of view can revealpossible options for epidemic control and fighting the spread of infection. However, predicting andmodeling the spread of a new, previously unexplored virus is still difficult. The present paper examines the possibility of using a new approach to predicting the statistical indicators of the epidemicof a new type of virus based on the example of COVID-19. The important result of the study is thedescription of the principle of dynamic balance of epidemiological processes, which has not beenpreviously used by other researchers for epidemic modeling. The new approach is also based onsolving the problem of predicting the future dynamics of precisely random values of model parameters, which is used for defining the future values of the total number of: cases (C); recovered anddead (R); and active cases (I). Intelligent heuristic algorithms are proposed for calculating the futuretrajectories of stochastic parameters, which are called the percentage increase in the total number ofconfirmed cases of the disease and the dynamic characteristics of epidemiological processes. Examples are given of the application of the proposed approach for making forecasts of the consideredindicators of the COVID-19 epidemic, in Russia and European countries, during the first wave ofthe epidemic.
AB - The consideration of infectious diseases from a mathematical point of view can revealpossible options for epidemic control and fighting the spread of infection. However, predicting andmodeling the spread of a new, previously unexplored virus is still difficult. The present paper examines the possibility of using a new approach to predicting the statistical indicators of the epidemicof a new type of virus based on the example of COVID-19. The important result of the study is thedescription of the principle of dynamic balance of epidemiological processes, which has not beenpreviously used by other researchers for epidemic modeling. The new approach is also based onsolving the problem of predicting the future dynamics of precisely random values of model parameters, which is used for defining the future values of the total number of: cases (C); recovered anddead (R); and active cases (I). Intelligent heuristic algorithms are proposed for calculating the futuretrajectories of stochastic parameters, which are called the percentage increase in the total number ofconfirmed cases of the disease and the dynamic characteristics of epidemiological processes. Examples are given of the application of the proposed approach for making forecasts of the consideredindicators of the COVID-19 epidemic, in Russia and European countries, during the first wave ofthe epidemic.
KW - artificial intelligence; balance model; CIR model; COVID-19; forecasting; modeling
KW - CIR model
KW - COVID-19
KW - artificial intelligence
KW - balance model
KW - forecasting
KW - modeling
UR - http://www.scopus.com/inward/record.url?scp=85140585124&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/e73c5bea-6918-33ba-b39c-834df996f17e/
U2 - 10.3390/math10203725
DO - 10.3390/math10203725
M3 - Article
VL - 10
JO - Mathematics
JF - Mathematics
SN - 2227-7390
IS - 20
M1 - 3725
ER -
ID: 100039025