A Stochastic Capital-Labour Model with Logistic Growth Function

被引：0
|
作者：
Zine, Houssine [1 ]
Danane, Jaouad [2 ]
Torres, Delfim F. M. [1 ]
机构：
[1] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat CIDMA, P-3810193 Aveiro, Portugal
[2] Hassan First Univ, Natl Sch Appl Sci, Lab Syst Modelizat & Anal Decis Support, Berrechid, Morocco
来源：
DYNAMIC CONTROL AND OPTIMIZATION, DCO 2021 | 2022年 / 407卷
关键词：
Capital-labour mathematical model; Stochastic differential equations; Brownian motion; Extinction and persistence;
D O I：
10.1007/978-3-031-17558-9_13
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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.
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页码：231 / 241
页数：11
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