Márquez Albés, Ignacio and Slavík, Antonín (2023) The logistic equation in the context of Stieltjes differential and integral equations. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023 (10). pp. 1-35. ISSN 1417-3875
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Abstract
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.
| Item Type: | Article |
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| Uncontrolled Keywords: | logistic equation, Stieltjes differential equation, Stieltjes integral equation, dynamic equation, population dynamics |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Kotegelt Import |
| Date Deposited: | 18 Jan 2024 09:44 |
| Last Modified: | 28 Mar 2024 12:20 |
| URI: | https://real.mtak.hu/id/eprint/185160 |
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