Logistic equation on time scales
| dc.contributor.author | Lemos-Silva, Márcia | |
| dc.contributor.author | Torres, Delfim F. M. | |
| dc.date.accessioned | 2025-09-22T08:19:09Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | We propose a new dynamic logistic equation that, in contrast with the one available in the literature, preserves the non-negativity of its solutions, which is an essential property for biological meaning. We derive the exact solution of the proposed model and analyze its behavior on arbitrary time scales. Finally, we illustrate our results with concrete examples. Our key novelty is: the model’s ability to maintain positivity across general time scales and its dynamic consistency with the classical logistic equation. | |
| dc.description.provenance | Submitted by Delfim F. M. Torres (delfim@unicv.cv) on 2025-09-16T16:28:00Z workflow start=Step: reviewstep - action:claimaction No. of bitstreams: 2 [585]dynamic_logistic.pdf: 818031 bytes, checksum: 7af5caa543577537c2e131d357085e47 (MD5) license_rdf: 905 bytes, checksum: 2f656a26de8af8c32aaacd5e2a33538c (MD5) | en |
| dc.description.provenance | Step: reviewstep - action:reviewaction Approved for entry into archive by Revelation Nyirongo (revelation.nyirongo@ubuntunet.net) on 2025-09-22T08:19:08Z (GMT) | en |
| dc.description.provenance | Made available in DSpace on 2025-09-22T08:19:09Z (GMT). No. of bitstreams: 2 [585]dynamic_logistic.pdf: 818031 bytes, checksum: 7af5caa543577537c2e131d357085e47 (MD5) license_rdf: 905 bytes, checksum: 2f656a26de8af8c32aaacd5e2a33538c (MD5) Previous issue date: 2025 | en |
| dc.description.sponsorship | This work is supported by CIDMA under FCT (https://ror.org/00snfqn58) Multi-Annual Financing Program for R&D Units. Lemos-Silva is also supported by the Fundação para a Ciência e a Tecnologia (FCT), Portugal PhD grant UI/BD/154853/2023 ( https://doi.org/10.54499/UI/BD/154853/2023) and by an ERASMUS+ fellowship; Torres within the project CoSysM3, Reference 2022.03091.PTDC ( https://doi.org/10.54499/2022.03091.PTDC). | |
| dc.identifier.citation | Examples and Counterexamples 8 (2025), Art. 100197 | |
| dc.identifier.issn | 2666-657X | |
| dc.identifier.uri | https://africarxiv.ubuntunet.net/handle/1/10401 | |
| dc.identifier.uri | https://doi.org/10.60763/africarxiv/10159 | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | en |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | |
| dc.subject | Logistic equation on time scales | |
| dc.subject | Non-negative solutions | |
| dc.subject | Dynamic consistence | |
| dc.subject | Exact solution | |
| dc.subject | Discrete and quantum logistic growth models | |
| dc.title | Logistic equation on time scales | |
| dc.type | Article |