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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 2, Pages 402–416
DOI: https://doi.org/10.33048/smzh.2021.62.211 (Mi smj7563) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Asymptotic behavior of solutions in one predator–prey model with delay

M. A. Skvortsova, T. Yskak

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (467 kB) Citations (9)
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DOI: https://doi.org/10.33048/smzh.2021.62.211
Abstract: We consider some system of delay differential equations describing the interaction between predator and prey populations and accounting for the age structure of the predator population. Under study are the asymptotic properties of solutions to this system. We establish the estimates that characterize the solution stabilization rate at infinity as well as the estimates for the attraction domains of asymptotically stable equilibrium points. These results base on the use of Lyapunov–Krasovskii functionals.
Keywords: predator–prey model, delay differential equations, asymptotic stability, estimates for solutions, attraction domain, Lyapunov–Krasovskii functional.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
The authors were supported by the Mathematical Center in Akademgorodok (Agreement No. 075–15–2019–1613 with the Ministry of Science and Higher Education of the Russian Federation).
Received: 14.08.2020
Revised: 11.11.2020
Accepted: 18.11.2020
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 2, Pages 324–336
DOI: https://doi.org/10.1134/S0037446621020117
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
MSC: 35R30
Language: Russian
Citation: M. A. Skvortsova, T. Yskak, “Asymptotic behavior of solutions in one predator–prey model with delay”, Sibirsk. Mat. Zh., 62:2 (2021), 402–416; Siberian Math. J., 62:2 (2021), 324–336
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
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