Modeling the Rate of Adaptation of Teachers to a New Teaching Method as a Stochastic Logistic Adaptation Model
Abstract
This study develops and analyzes a stochastic logistic adaptation model to describe the rate at which a population of teachers adjusts to a newly introduced teaching method. Using a stochastic differential equation with multiplicative noise, the model captures both deterministic growth and random fluctuations in adaptation. The Euler-Maruyama scheme is employed for numerical simulation, with convergence and stability rigorously established. Simulation results provide insight into the dynamics of adaptation under uncertainty, supported by mean-variance analysis and visualizations. This framework offers a realistic tool for understanding adaptation processes in educational interventions.
Keywords
Stochastic logistics adaptation Educational innovation modelling Teachers’ adaptation rate Adaptive behaviour in education Stability and convergence
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Details
| Primary Language | English |
|---|---|
| Subjects | Applied Mathematics (Other) |
| Journal Section | Research Article |
| Authors | |
| Submission Date | May 23, 2025 |
| Acceptance Date | February 14, 2026 |
| Early Pub Date | March 4, 2026 |
| Publication Date | March 4, 2026 |
| DOI | https://doi.org/10.33187/jmsm.1702417 |
| IZ | https://izlik.org/JA56ZM72NG |
| Published in Issue | Year 2026 Issue: Advanced Online Publication |
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A. N. Kochubei, Extensions of symmetric operators and symmetric binary relations, Mat. Zametki, 17 (1975), 41-48.
M. I. Gil’, On the stability of linear Barbashin type integro-differential equations, Math. Probl. Eng., (2015), Article ID 962565.
N. Tiwari, T. K. Pandey, An improved quantitative optional randomised response technique with additive Scrambling using two questions approach, Commun. Adv. Math. Sci, 7(2) (2024), 104-113. https://doi.org/10.33434/cams.1435108
Unpublished Article
R. Lopez, Differential Geometry of curves and surfaces in Lorentz-Minkowski space, (2008), arXiv:0810.3351v1 [math.DG].
M. Akyigit, Split Fibonacci quaternions, Adv. App. Clifford Alg., (in press).
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E. E. Kara, On matrix transformations between some sequence spaces and the Hausdorff measure of noncompactness, Ph.D. Thesis, Sakarya University, 2012.
Book
M. Bohner, A. Peterson (Eds.), Advances in Dynamic Equations on Time Scales, Birkhäuser, Boston, 2003.
C. Niculescu, L. E. Persson, Convex Functions and Their Applications, Vol. 23, Springer, New York, 2006.
R. Bölling, Karl Weierstrass and some basic notions of the calculus, In: The Second W. Killing and K. Weierstraß Colloquium, Braniewo (Poland), March 2010, pp. 24–26.
E. Kropat, G. W. Weber, S. Z. Alparslan-Gok, et al., Inverse problems in complex multi-modal regulatory networks based on uncertain clustered data, In A. A. Pinto, D. Zilberman (Eds.), Modeling, Dynamics, Optimization and Bioeconomics I, Springer International Publishing, 2014, pp. 437–451.
Conference Proceeding
K. G. Tay, S. L. Kek, Approximating the smallest eigenvalue using inverse method through spreadsheet Excel, Proceeding of the 17th National Symposium on Mathematical Science (SKSM 2009), (2009), 653-658.
Web Source
Turkish Statistical Institute, Life tables, (2023). Available at: https://data.tuik.gov.tr/Bulten/Index?p=Hayat-Tablolari-2020-2022-49726. Accessed September 2, 2024.
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Requests for a change of authorship should be conveyed to the Editor with an official letter stating the reasons for the change. The letter should be signed by all the authors and include their confirmation of the change of authorship.
Disclaimer
The opinions expressed in the articles published in the journal are those of the author(s). They do not purport to reflect the opinions or views of the JMSM and its Editor-In-Chief, Editors, Editorial Board, or Publisher. The Editor-in-Chief, Editors, Editorial Board, and Publisher assume no responsibility or liability for such cases. The sole responsibility for the published content lies with the authors.
Complaints and Appeals
JMSM handles complaints and appeals in accordance with the procedure below. Complaints, including but not limited to the long delays in handling studies and publication ethics, are initially handled by the Editor-in-Chief of JMSM. The Editor-in-Chief examines complaints and appeals together with Area Editors and Editorial Board if applicable. If anything occurs about complaints and appeals, please contact makyigit@sakarya.edu.tr.
Complaints about the Content of a Paper
The Editor-in-Chief examines the complaints of the author(s), and the reports of reviewers, and makes a decision:
- The confirmation of the rejection of the paper,
- The appeal of the author should be considered,
- A fresh opinion from an independent reviewer is needed.
The final decision of the Editor-in-Chief is notified to the author(s). The explanation of the consequences of the appeal is shared with the author(s) if necessary. This is the final decision of JMSM.
Complaints about Processes
The complaints about processes are handled by the Editor-in-Chief. Long delays in handling studies are examined by editors of JMSM, and any necessary issues are shared with the Editor-in-Chief. The Editor-in-Chief evaluates the complaints, and when necessary, information is shared with the authors.
Complaints about Ethics
The Editor-in-Chief considers complaints about the publication ethics of the author’s or reviewer’s conduct. The Editor-in-Chief follows the publication ethics, which are published on the JMSM website. The editorial board of JMSM examines the concerns of complainants or reviewers. The details and progress of the examination are clearly shared with the complainant(s). The Editor-in-Chief provides feedback to the complainant(s) on the manner of action and the final decision.
Price Policy
• JMSM does not request any fees for article submission, reviewing and editing processes, page layout, and publication (page or color fees).
• JMSM does not pay any fees to authors, reviewers, editors, and editorial board members.
• All papers on JMSM are free to read and download.
• JMSM signed on to the Budapest Open Access Initiative (BOAI), which promotes free access to research literature and has adopted the Open Access Principles that are clarified in this initiative.
• All papers on JMSM are archived with the LOCKSS (Lots Of Copies Keep Stuff Safe) system through TÜBİTAK ULAKBİM DergiPark.
• JMSM does not accept announcements, advertisements, sponsorships, etc. due to its publication policy.
• JMSM is an open-access journal that does not request any subscription fees.
• We do not offer a reprint service for those requiring professional-quality reproductions of papers.
• All expenses of the JMSM journal are covered by the publisher.
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Journal of Mathematical Sciences and Modelling
The published articles in JMSM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.