Estimates for solutions in one epidemic model with infinite distributed delay Full article
| Journal |
Computational Mathematics and Modeling
ISSN: 1046-283X |
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| Output data | Year: 2026, Pages: 1-17 Pages count : 17 DOI: 10.1007/s10598-025-09664-6 | ||||
| Tags | Epidemic model · Delay differential equations · Infinite distributed delay · Equilibrium point · Asymptotic stability · Estimates for solutions · Attraction set · Lyapunov–Krasovskii functional | ||||
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0008 |
Abstract:
In the paper we consider an epidemic model described by a system of differential equations with infinite distributed delay. The model consists of three equations, each of which describes changes in the numbers of susceptible individuals, infected individuals, and recovered individuals, respectively. The asymptotic stability of equilibrium points is studied, which correspond to the case of complete recovery of individuals and the case when infected individuals are always present in the system. Estimates for the initial numbers of individuals are indicated, in which they fully recover, or the number of infected individuals tends to a constant value. Estimates for solutions to the system are established, that characterize the rate of infection or the rate of recovery of the entire group of individuals. The results are obtained using Lyapunov–Krasovskii functionals.
Cite:
Skvortsova M.A.
Estimates for solutions in one epidemic model with infinite distributed delay
Computational Mathematics and Modeling. 2026. P.1-17. DOI: 10.1007/s10598-025-09664-6
Estimates for solutions in one epidemic model with infinite distributed delay
Computational Mathematics and Modeling. 2026. P.1-17. DOI: 10.1007/s10598-025-09664-6
Dates:
| Submitted: | Nov 9, 2025 |
| Accepted: | Dec 4, 2025 |
| Published online: | Jan 21, 2026 |
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