Estimates of Solutions in the Model of Interaction of Populations with Several Delays Full article
| Journal |
Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2025, Volume: 287, Number: 6, Pages: 898-919 Pages count : 22 DOI: 10.1007/s10958-025-07649-9 | ||||
| Tags | model of interaction of populations, equation with delayed argument, asymptotic stability, estimate of solution, attraction set, modified Lyapunov–Krasovsky functional. | ||||
| Authors |
|
||||
| Affiliations |
|
Funding (2)
| 1 | Russian Foundation for Basic Research | 18-29-10086 |
| 2 | Russian Foundation for Basic Research | 18-31-00408 |
Abstract:
We consider a system of differential equations with several delays, which describes the interaction of n species of microorganisms. We obtain sufficient conditions for the asymptotic stability of a nontrivial equilibrium state corresponding to the partial survival of populations. We establish estimates of solutions that characterize the rate of stabilization at infinity and indicate estimates of the attraction set of a given equilibrium state. The results are obtained by using the modified Lyapunov–Krasovsky functional.
Cite:
Skvortsova M.A.
Estimates of Solutions in the Model of Interaction of Populations with Several Delays
Journal of Mathematical Sciences (United States). 2025. V.287. N6. P.898-919. DOI: 10.1007/s10958-025-07649-9 Scopus РИНЦ OpenAlex
Estimates of Solutions in the Model of Interaction of Populations with Several Delays
Journal of Mathematical Sciences (United States). 2025. V.287. N6. P.898-919. DOI: 10.1007/s10958-025-07649-9 Scopus РИНЦ OpenAlex
Dates:
| Published print: | Feb 26, 2025 |
| Published online: | Feb 26, 2025 |
Identifiers:
| Scopus: | 2-s2.0-85218715811 |
| Elibrary: | 81868676 |
| OpenAlex: | W4407984195 |
Citing:
Пока нет цитирований