Generalized Models of the Seir Epidemiological Model and Their Discrete Analogues

The paper considers a discrete analogue of the SEIR model, which, unlike SIR, includes a group of infected individuals in the incubation (latent) period. This model is based on Lotka Volterra mappings operating in a three-dimensional simplex with degenerate skew-symmetric matrices, which correspond to mixedgraphs.Themodelsconsideredinthispaperareintended to study the course of viral diseases transmitted by the air-capillary route without a repeated effect.

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Journal
UZBEKISTAN JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE
Published
2025-03-15
DOI
https://doi.org/10.56143/uzmcs.v1i1.7
Primary Topic
COVID-19 epidemiological studies
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article
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article

Generalized Models of the Seir Epidemiological Model and Their Discrete Analogues

M. A. Tadzhieva, Dilfuza Eshmamatova, S.Yu Zavgorodneva
UZBEKISTAN JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE
COVID-19 epidemiological studies
article

Generalized Models of the Seir Epidemiological Model and Their Discrete Analogues

M. A. Tadzhieva, Dilfuza Eshmamatova, S.Yu Zavgorodneva
article en

Abstract

The paper considers a discrete analogue of the SEIR model, which, unlike SIR, includes a group of infected individuals in the incubation (latent) period. This model is based on Lotka Volterra mappings operating in a three-dimensional simplex with degenerate skew-symmetric matrices, which correspond to mixedgraphs.Themodelsconsideredinthispaperareintended to study the course of viral diseases transmitted by the air-capillary route without a repeated effect.

UZBEKISTAN JOURNAL OF MATHEMATICS AND COMPUTER SCIENCEVol. 1(1)
Tashkent State Transport University (UZ), Academy of Sciences Republic of Uzbekistan (UZ)
Openalex Percentile: Top 70%
COVID-19 epidemiological studies
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Generalized Models of the Seir Epidemiological Model and Their Discrete Analogues — M. A. Tadzhieva, Dilfuza Eshmamatova, et al. · UZBEKISTAN JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE (2025) | TGRS Research Map | TGRS