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Generalized Models of the Seir Epidemiological Model and Their Discrete Analogues

Dilfuza EshmamatovaTashkent State Transport UniversityM. A. TadzhievaTashkent State Transport University, Institute of Mathematics named after V.I. Romanovsky Academy of Sciences of the Republic of Uzbekistan,S.Yu ZavgorodnevaTashkent State Transport University
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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.

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