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

0571372 - MÚ 2024 RIV HU eng J - Journal Article
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
Institutional support: RVO:67985840
Keywords : logistic equation * Stieltjes differential equation * Stieltjes integral equation * dynamic equation
OECD category: Pure mathematics
Impact factor: 1.1, year: 2022
Method of publishing: 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.
Permanent Link: https://hdl.handle.net/11104/0342611