ON SOLVABILITY OF A NONLINEAR DISCRETE SYSTEM IN THE SPREAD THEORY OF INFECTION
DOI:
https://doi.org/10.46991/PYSU:A/2020.54.2.087Keywords:
infinite system, nonlinearity, monotonicity, epidemics, uniquenessAbstract
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
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Mathematics
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Copyright (c) 2020 Proceedings of the YSU
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