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.
Fields of Study & Subjects
Mathematical and Theoretical Epidemiology and Ecology Models
Innovation Diffusion and Forecasting
Mathematical and Computational Methods
Publication details
- Journal / source
- Journal of Mathematical Sciences and Modelling
- Volume
- 9
- Issue
- 1
- Pages
- 36–46
- Publication date
- 4 March 2026
- Language
- EN