Genetic Algebras Associated with the SIR Model

Taimun Qaisar; Farrukh Mukhamedov; Mahmoud Alhaj Hasan; Mhd Safouh Amini

doi:10.3390/appliedmath5030111

Genetic Algebras Associated with the SIR Model

Taimun Qaisar
, Farrukh Mukhamedov
, Mahmoud Alhaj Hasan
, Mhd Safouh Amini

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The present study proposes a novel connection between the susceptible–infected–recovered (Formula presented.) model and genetic algebras through the construction of quadratic stochastic processes (QSPs). To determine the underlying dynamics, explicit formulations of the QSP are generated and their long-term behavior is examined under different cases. Moreover, we evaluate the attributes of the related limiting genetic algebras, focusing on fundamental characteristics like Rota–Baxter operators, automorphisms, and derivations.

Original language	English
Article number	111
Journal	AppliedMath
Volume	5
Issue number	3
DOIs	https://doi.org/10.3390/appliedmath5030111
Publication status	Published - Sept 2025

Keywords

Susceptible-Infected-Recovered model
genetic algebras
quadratic stochastic operators

ASJC Scopus subject areas

Mathematics (miscellaneous)
Applied Mathematics

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10.3390/appliedmath5030111

Cite this

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abstract = "The present study proposes a novel connection between the susceptible–infected–recovered (Formula presented.) model and genetic algebras through the construction of quadratic stochastic processes (QSPs). To determine the underlying dynamics, explicit formulations of the QSP are generated and their long-term behavior is examined under different cases. Moreover, we evaluate the attributes of the related limiting genetic algebras, focusing on fundamental characteristics like Rota–Baxter operators, automorphisms, and derivations.",

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PY - 2025/9

Y1 - 2025/9

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AB - The present study proposes a novel connection between the susceptible–infected–recovered (Formula presented.) model and genetic algebras through the construction of quadratic stochastic processes (QSPs). To determine the underlying dynamics, explicit formulations of the QSP are generated and their long-term behavior is examined under different cases. Moreover, we evaluate the attributes of the related limiting genetic algebras, focusing on fundamental characteristics like Rota–Baxter operators, automorphisms, and derivations.

KW - Susceptible-Infected-Recovered model

KW - genetic algebras

KW - quadratic stochastic operators

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ER -

Genetic Algebras Associated with the SIR Model

Abstract

Keywords

ASJC Scopus subject areas

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