A Stochastic Capital-Labour Model with Logistic Growth Function

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.

This is a preprint whose final form is published by Springer Nature Switzerland AG in the book 'Dynamic Control and Optimization'

References in corpus (3)

• Modeling and Forecasting of COVID-19 Spreading by Delayed Stochastic Differential Equations
• A stochastic time-delayed model for the effectiveness of Moroccan COVID-19 deconfinement strategy
• A Stochastic Fractional Calculus with Applications to Variational Principles