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Asymptotic Behavior of Solutions in a Model of Immune Response in Plants

Lobachevskii Journal of Mathematics, ISSN: 1818-9962, Vol: 42, Issue: 14, Page: 3505-3517
2021
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Abstract: In the paper we consider a model of immune response in plants described by a system of differential equations with two delays. The asymptotic behavior of solutions to this system is studied in the case when the equilibrium point corresponding to a healthy plant is asymptotically stable. Estimates for the attraction set of the considered equilibrium point are indicated and estimates of solutions characterizing the stabilization rate at infinity are established. The results are obtained using the Lyapunov–Krasovskii functional.

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