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Estimates for Solutions of a Biological Model with Infinite Distributed Delay. / Iskakov, T. K.; Skvortsova, M. A.

In: Computational Mathematics and Mathematical Physics, Vol. 64, No. 8, 26.09.2024, p. 1689-1703.

Research output: Contribution to journal › Article › peer-review

Harvard

Iskakov, TK & Skvortsova, MA 2024, 'Estimates for Solutions of a Biological Model with Infinite Distributed Delay', Computational Mathematics and Mathematical Physics, vol. 64, no. 8, pp. 1689-1703. https://doi.org/10.1134/S0965542524700921

APA

Iskakov, T. K., & Skvortsova, M. A. (2024). Estimates for Solutions of a Biological Model with Infinite Distributed Delay. Computational Mathematics and Mathematical Physics, 64(8), 1689-1703. https://doi.org/10.1134/S0965542524700921

Vancouver

Iskakov TK, Skvortsova MA. Estimates for Solutions of a Biological Model with Infinite Distributed Delay. Computational Mathematics and Mathematical Physics. 2024 Sept 26;64(8):1689-1703. doi: 10.1134/S0965542524700921

Author

Iskakov, T. K. ; Skvortsova, M. A. / Estimates for Solutions of a Biological Model with Infinite Distributed Delay. In: Computational Mathematics and Mathematical Physics. 2024 ; Vol. 64, No. 8. pp. 1689-1703.

BibTeX

@article{9d4fd6a2560d4b909ac9f6987349a3e3,
title = "Estimates for Solutions of a Biological Model with Infinite Distributed Delay",
abstract = "For several species of microorganisms, a competition model described by a system of nonlinear differential equations with an infinite distributed delay is considered. The asymptotic stability of the equilibrium point corresponding to the survival of only one species and extinction of the others is studied. Conditions on the initial species population sizes and the initial nutrient concentration are indicated under which the system reaches the equilibrium. Additionally, the stabilization rate is estimated. The results are obtained using a Lyapunov–Krasovskii functional.",
keywords = "Lyapunov–Krasovskii functional, asymptotic stability, chemostat, delay differential equations, domain of attraction, equilibrium point, estimates for solutions, infinite distributed delay, species competition model",
author = "Iskakov, {T. K.} and Skvortsova, {M. A.}",
year = "2024",
month = sep,
day = "26",
doi = "10.1134/S0965542524700921",
language = "English",
volume = "64",
pages = "1689--1703",
journal = "Computational Mathematics and Mathematical Physics",
issn = "0965-5425",
publisher = "PLEIADES PUBLISHING INC",
number = "8",

}

RIS

TY - JOUR

T1 - Estimates for Solutions of a Biological Model with Infinite Distributed Delay

AU - Iskakov, T. K.

AU - Skvortsova, M. A.

PY - 2024/9/26

Y1 - 2024/9/26

N2 - For several species of microorganisms, a competition model described by a system of nonlinear differential equations with an infinite distributed delay is considered. The asymptotic stability of the equilibrium point corresponding to the survival of only one species and extinction of the others is studied. Conditions on the initial species population sizes and the initial nutrient concentration are indicated under which the system reaches the equilibrium. Additionally, the stabilization rate is estimated. The results are obtained using a Lyapunov–Krasovskii functional.

AB - For several species of microorganisms, a competition model described by a system of nonlinear differential equations with an infinite distributed delay is considered. The asymptotic stability of the equilibrium point corresponding to the survival of only one species and extinction of the others is studied. Conditions on the initial species population sizes and the initial nutrient concentration are indicated under which the system reaches the equilibrium. Additionally, the stabilization rate is estimated. The results are obtained using a Lyapunov–Krasovskii functional.

KW - Lyapunov–Krasovskii functional

KW - asymptotic stability

KW - chemostat

KW - delay differential equations

KW - domain of attraction

KW - equilibrium point

KW - estimates for solutions

KW - infinite distributed delay

KW - species competition model

UR - https://www.mendeley.com/catalogue/0ebf9060-7d3d-3a78-acf9-a1499fd05d00/

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85205388707&origin=inward&txGid=c905ca6820122d7cb2d3ec197d8273b6

U2 - 10.1134/S0965542524700921

DO - 10.1134/S0965542524700921

M3 - Article

VL - 64

SP - 1689

EP - 1703

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 8

ER -

ID: 60817636