A Stochastic Capital-Labour Model with Logistic Growth Function
Probability
2022-10-03 v1 Dynamical Systems
Abstract
We propose and study a stochastic capital-labour model with logistic growth function. First, we show that the model has a unique positive global solution. Then, using the Lyapunov analysis method, we obtain conditions for the extinction of the total labour force. Furthermore, we also prove sufficient conditions for their persistence in mean. Finally, we illustrate our theoretical results through numerical simulations.
Keywords
Cite
@article{arxiv.2202.05348,
title = {A Stochastic Capital-Labour Model with Logistic Growth Function},
author = {Houssine Zine and Jaouad Danane and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:2202.05348},
year = {2022}
}
Comments
This is a preprint whose final form is published by Springer Nature Switzerland AG in the book 'Dynamic Control and Optimization'