ON SOLVABILITY OF A NONLINEAR DISCRETE SYSTEM IN THE SPREAD THEORY OF INFECTION

M.H. Avetisyan

doi:10.46991/PYSU:A/2020.54.2.087

ON SOLVABILITY OF A NONLINEAR DISCRETE SYSTEM IN THE SPREAD THEORY OF INFECTION

Authors

M.H. Avetisyan Armenian National Agrarian University, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2020.54.2.087

Keywords:

infinite system, nonlinearity, monotonicity, epidemics, uniqueness

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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Published

2020-08-17

How to Cite

Avetisyan, M. (2020). ON SOLVABILITY OF A NONLINEAR DISCRETE SYSTEM IN THE SPREAD THEORY OF INFECTION. Proceedings of the YSU A: Physical and Mathematical Sciences, 54(2 (252), 87–95. https://doi.org/10.46991/PYSU:A/2020.54.2.087