Estimates for solutions in a predator-prey model with delay

DOI10.26516/1997-7670.2018.25.109zbMath1409.92213OpenAlexW2893446043MaRDI QIDQ1717418

Mariya Aleksandrovna Skvortsova

Publication date: 5 February 2019

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/assets/articles/787513f9-f8d7-4838-8a50-96d9eeb4ccf0.pdf

zbMATH Keywords

asymptotic stabilitydelay differential equationspredator-prey modelattraction setestimates for solutionsmodified Lyapunov-Krasovskii functional

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20)

Related Items (3)

On estimates of solutions in a predator-prey model with two delays ⋮ Asymptotic behavior of solutions in one predator-prey model with delay ⋮ ASYMPTOTIC PROPERTIES OF SOLUTIONS IN A MODEL OF INTERACTION OF POPULATIONS WITH SEVERAL DELAYS

Cites Work

• A stage structured predator-prey model and its dependence on maturation delay and death rate
• Convergence estimates for solutions of linear stationary systems of differential-difference equations with constant delay
• Exponential estimates for time delay systems
• Exponential estimates for retarded time-delay systems: an LMI approach
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