Research Article

Modeling the Rate of Adaptation of Teachers to a New Teaching Method as a Stochastic Logistic Adaptation Model

Volume: 9 Number: 1 March 4, 2026

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

References

  1. [1] J. Hibbs, Teachers’ experience of changes to their teaching methods because of the COVID-19 pandemic, Kansas State University, College of Education (2023). https://coe.k-state.edu/research/documents/Hibbs%20Jamie.pdf
  2. [2] S. A. Parsons, M. Vaughn, One teacher’s instructional adaptations and her students’ reflections on the adaptations, J. Classroom Interact., 51(1) (2016), 4–17. https://files.eric.ed.gov/fulltext/EJ1103040.pdf
  3. [3] M. van Geel, T. Keuning, K. Meutstege, J. de Vries, et al., Adapting teaching to students’ needs: what does it require from teachers?, in: R. Maulana, M. Helms-Lorenz, R. M. Klassen (eds), Effective teaching around the World, Springer, Cham, 2023. https://doi.org/10.1007/978-3-031-31678-4 33
  4. [4] P. F. Verhulst, Notice on the law that a population follows in its growth, Corr. Math. Phys., 10 (1838), 113–121. https://www.neo-classical-physics.info/uploads/3/4/3/6/34363841/verhulst - law of population.pdf
  5. [5] Y. Chakroune, A. Nafidi, A. El Azri, Parameters estimation of the Rayleigh diffusion process: Inference aspects and application to real data, Monte Carlo Methods and Applications, 31(3) (2025), 247–255. https://doi.org/10.1515/mcma-2025-2014
  6. [6] E. Azri Abdenbi, N. Ahmed, C. Yassine, Stochastic generalized Rayleigh diffusion process: computational strategies and statistical analysis, Int. J. Comput. Math., 102(4) (2025), 561–576. https://doi.org/10.1080/00207160.2024.2439324
  7. [7] F. Baltazar-Larios, F. J. Delgado-Vences, S. D´ıaz-Infante, et al., Statistical inference for a stochastic generalized logistic differential equation, Commun. Nonlinear Sci. Numer. Simul., 139 (2024), Article ID 108261. https://doi.org/10.1016/j.cnsns.2024.108261
  8. [8] H. Wang, Gamma distribution for equilibrium analysis of discrete stochastic logistic population models, arXiv:2411.10167 (2024). https://arxiv.org/abs/2411.10167
  9. [9] A. H. Belaid, Modelling environmental stochasticity in a stage-structured population applying stochastic differential equations, Gulf J. Math., 18(1) (2024), 218–234. https://doi.org/10.56947/gjom.v18i1.2402
  10. [10] L. J. S. Allen, An Introduction to Stochastic Processes with Applications to Biology, 2nd ed., CRC Press, 2010. https://doi.org/10.1201/b12537
APA
Bankole, P. A., Odupe, T. A. A., & Amoo-Adams, O. F. (2026). Modeling the Rate of Adaptation of Teachers to a New Teaching Method as a Stochastic Logistic Adaptation Model. Journal of Mathematical Sciences and Modelling, 9(1), 36-46. https://doi.org/10.33187/jmsm.1702417
AMA
1.Bankole PA, Odupe TAA, Amoo-Adams OF. Modeling the Rate of Adaptation of Teachers to a New Teaching Method as a Stochastic Logistic Adaptation Model. Journal of Mathematical Sciences and Modelling. 2026;9(1):36-46. doi:10.33187/jmsm.1702417
Chicago
Bankole, Philip Ajibola, Toyin Alaba Adekitan Odupe, and Olamide Funmilayo Amoo-Adams. 2026. “Modeling the Rate of Adaptation of Teachers to a New Teaching Method As a Stochastic Logistic Adaptation Model”. Journal of Mathematical Sciences and Modelling 9 (1): 36-46. https://doi.org/10.33187/jmsm.1702417.
EndNote
Bankole PA, Odupe TAA, Amoo-Adams OF (March 1, 2026) Modeling the Rate of Adaptation of Teachers to a New Teaching Method as a Stochastic Logistic Adaptation Model. Journal of Mathematical Sciences and Modelling 9 1 36–46.
IEEE
[1]P. A. Bankole, T. A. A. Odupe, and O. F. Amoo-Adams, “Modeling the Rate of Adaptation of Teachers to a New Teaching Method as a Stochastic Logistic Adaptation Model”, Journal of Mathematical Sciences and Modelling, vol. 9, no. 1, pp. 36–46, Mar. 2026, doi: 10.33187/jmsm.1702417.
ISNAD
Bankole, Philip Ajibola - Odupe, Toyin Alaba Adekitan - Amoo-Adams, Olamide Funmilayo. “Modeling the Rate of Adaptation of Teachers to a New Teaching Method As a Stochastic Logistic Adaptation Model”. Journal of Mathematical Sciences and Modelling 9/1 (March 1, 2026): 36-46. https://doi.org/10.33187/jmsm.1702417.
JAMA
1.Bankole PA, Odupe TAA, Amoo-Adams OF. Modeling the Rate of Adaptation of Teachers to a New Teaching Method as a Stochastic Logistic Adaptation Model. Journal of Mathematical Sciences and Modelling. 2026;9:36–46.
MLA
Bankole, Philip Ajibola, et al. “Modeling the Rate of Adaptation of Teachers to a New Teaching Method As a Stochastic Logistic Adaptation Model”. Journal of Mathematical Sciences and Modelling, vol. 9, no. 1, Mar. 2026, pp. 36-46, doi:10.33187/jmsm.1702417.
Vancouver
1.Philip Ajibola Bankole, Toyin Alaba Adekitan Odupe, Olamide Funmilayo Amoo-Adams. Modeling the Rate of Adaptation of Teachers to a New Teaching Method as a Stochastic Logistic Adaptation Model. Journal of Mathematical Sciences and Modelling. 2026 Mar. 1;9(1):36-4. doi:10.33187/jmsm.1702417