Estimates for Solutions of a Biological Model with Infinite Distributed Delay

Estimates for Solutions of a Biological Model with Infinite Distributed Delay Full article

Journal

Computational Mathematics and Mathematical Physics
ISSN: 0965-5425 , E-ISSN: 1555-6662

Output data

Year: 2024, Volume: 64, Number: 8, Pages: 1689-1703 Pages count : 15 DOI: 10.1134/s0965542524700921

Funding (1)

Mathematical Center in Akademgorodok

075-15-2022-282

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.

Iskakov T.K. , Skvortsova M.A.
Estimates for Solutions of a Biological Model with Infinite Distributed Delay
Computational Mathematics and Mathematical Physics. 2024. V.64. N8. P.1689-1703. DOI: 10.1134/s0965542524700921 WOS Scopus РИНЦ OpenAlex

Искаков Т.К. , Скворцова М.А.
Оценки решений одной биологической модели с бесконечным распределенным запаздыванием
Журнал вычислительной математики и математической физики. 2024. Т.64. №8. С.1409-1423. DOI: 10.31857/S0044466924080067 РИНЦ OpenAlex

Submitted:	Apr 2, 2024
Accepted:	May 2, 2024
Published print:	Sep 26, 2024
Published online:	Sep 26, 2024

Web of science:	WOS:001324967400008
Scopus:	2-s2.0-85205388707
Elibrary:	69921016
OpenAlex:	W4402883427

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