The logistic equation in the context of Stieltjes differential and integral equations

0571372 - MÚ 2024 RIV HU eng J - Článek v odborném periodiku
Márquez Albés, Ignacio - Slavík, A.
The logistic equation in the context of Stieltjes differential and integral equations.
Electronic Journal of Qualitative Theory of Differential Equations. Roč. 2023, č. 10 (2023), s. 1-35. ISSN 1417-3875. E-ISSN 1417-3875
Institucionální podpora: RVO:67985840
Klíčová slova: logistic equation * Stieltjes differential equation * Stieltjes integral equation * dynamic equation
Obor OECD: Pure mathematics
Impakt faktor: 1.1, rok: 2022
Způsob publikování: Open access
https://doi.org/10.14232/ejqtde.2023.1.10

In this paper, we introduce logistic equations with Stieltjes derivatives and provide explicit solution formulas. As an application, we present a population model which involves intraspecific competition, periods of hibernation, as well as seasonal reproductive cycles. We also deal with various forms of Stieltjes integral equations, and find the corresponding logistic equations. We show that our work extends earlier results for dynamic equations on time scales, which served as an inspiration for this paper.
Trvalý link: https://hdl.handle.net/11104/0342611