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http://hdl.handle.net/10773/36880| Title: | A stochastic capital-labour model with logistic growth function |
| Author: | Zine, Houssine Danane, Jaouad Torres, Delfim F. M. |
| Keywords: | Capital-labour mathematical model Stochastic differential equations Brownian motion Extinction and persistence |
| Issue Date: | 2022 |
| Publisher: | Springer |
| 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. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/36880 |
| DOI: | 10.1007/978-3-031-17558-9_13 |
| ISBN: | 978-3-031-17557-2 |
| Appears in Collections: | CIDMA - Capítulo de livro SCG - Capítulo de livro |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| [506]Zine_Danane_Torres.pdf | 547.84 kB | Adobe PDF |  |
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