arXiv 2202.053482022-02-10math.PRmath.DS

具有Logistic增长函数的随机资本-劳动模型

A Stochastic Capital-Labour Model with Logistic Growth Function

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

备注：: This is a preprint whose final form is published by Springer Nature Switzerland AG in the book 'Dynamic Control and Optimization'
DOI：: 10.1007/978-3-031-17558-9_13

摘要：

本文提出并研究了一个具有Logistic增长函数的随机资本-劳动模型。首先，我们证明了该模型具有唯一的全局正解。然后，利用李雅普诺夫分析方法，我们得到了总劳动力灭绝的条件。此外，我们还证明了它们在均值上持续存在的充分条件。最后，我们通过数值模拟来说明我们的理论结果。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。