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arXiv · 2202.05348

A Stochastic Capital-Labour Model with Logistic Growth Function

Houssine Zine·Jaouad Danane·Delfim F. M. Torres
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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.

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Houssine Zine, Jaouad Danane, Delfim F. M. Torres. 2022-02-10. A Stochastic Capital-Labour Model with Logistic Growth Function. https://doi.org/10.1007/978-3-031-17558-9_13

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