2020; Physical and Mathematical Sciences, 54(2 (252): 87–95
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ON SOLVABILITY OF A NONLINEAR DISCRETE SYSTEM IN THE SPREAD THEORY OF INFECTION

Received: 2025-01-29 · Published: 2020-08-17

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Original title
ON SOLVABILITY OF A NONLINEAR DISCRETE SYSTEM IN THE SPREAD THEORY OF INFECTION
Author
Metaqsya Avetisyan
Published
2020-08-17
Licence
Creative Commons Attribution-NonCommercial 4.0 International
Original
https://doi.org/10.46991/PYSU:A/2020.54.2.087

Abstract

In this paper a special class of infinite nonlinear system of algebraic equations with Teoplitz matrix is studied. The mentioned system arises in the mathematical theory of the spatial temporal spread of the epidemic. The existence and the uniqueness of the solution in the space of bounded sequences are proved. It is studied also the asymptotic behavior of the constructed solution at infinity. At the end of the work specific examples are given.
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