Geodesic
On solvability of a nonlinear discrete system in the spread theory of infection
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 54 (2020) no. 2, pp. 87-95

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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.
Keywords: infinite system, nonlinearity, monotonicity, epidemics, uniqueness. 
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     title = {On solvability of a nonlinear discrete system in the spread theory of infection},
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M. H. Avetisyan. On solvability of a nonlinear discrete system in the spread theory of infection. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 54 (2020) no. 2, pp. 87-95. http://geodesic.mathdoc.fr/item/UZERU_2020_54_2_a1/