Abstract: A modi cation of SEIRS model of the epidemic process taking into account time- and place-local contacts of individuals is developed. The model on the base of a high-dimensional system of di erential equations with two delays, supplemented with initial data, is constructed. The correctness of model is studied. Conditions for the asymptotic stability of the trivial equilibrium state, which re ects the solution of the model in which there is no infection, is established. An expression for the infection spread coe cient is obtained. To solve the model numerically, a semi-implicit Euler scheme is used. The results of computational experiments with the model are presented. The signi cant inuence of the heterogeneity of cohorts of susceptible and infectious individuals on the dynamics of the epidemic process is shown. The results of tting solutions to the original high-dimensional model using its simpler modi cation are presented.

Cite: Перцев Н.В. , Логинов К.К.
Численное моделирование эпидемического процесса с учетом локальных по времени и местоположению контактов индивидуумов
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2024. Т.21. №2. С.702-728. DOI: 10.33048/semi.2024.21.048 WOS Scopus

Dates:

Submitted:	Apr 8, 2024
Published print:	Oct 11, 2024
Published online:	Oct 11, 2024

Identifiers:

Web of science:	WOS:001394114300011
Scopus:	2-s2.0-85207340894

Citing: Пока нет цитирований

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