Geodesic
Asymptotic properties of solutions to a system describing the spread of avian influenza
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 782-798.

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In the present paper we consider a system of delay differential equations describing the spread of avian influenza between birds migrating between two territories. We study the asymptotic stability of the zero solution and the periodic solution corresponding to healthy birds. We establish estimates of solutions characterizing the rate of convergence to the zero solution, and also attraction domains and estimates of solutions characterizing the rate of convergence to the periodic solution. The results are obtained by the use of a solution to the special boundary value problem for the Lyapunov differential equation.
Keywords: birds' migration, avian influenza, delay differential equations, ordinary differential equations, Lyapunov differential equation, asymptotic stability, estimates of solutions
Mots-clés : attraction domains. 
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M. A. Skvortsova. Asymptotic properties of solutions to a system describing the spread of avian influenza. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 782-798. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a81/

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