Existence of periodic solutions of a continuous flow bioreactor model with impulsive control in microorganisms
In this paper, we aim to investigate the dynamics and existence of periodic solutions of a state-dependent impulsive model for continuous flow bioreactors. In this model, the Monod’s growth rate is employed and an impulsive control strategy is used to control the quantity of microorganisms. Our stud...
| Main Authors: | , , , |
|---|---|
| Format: | Journal Article |
| Published: |
Springer
2017
|
| Online Access: | http://hdl.handle.net/20.500.11937/54442 |
| _version_ | 1848759372379848704 |
|---|---|
| author | Chen, Z. Zhang, T. Tade, Moses Brooks, G. |
| author_facet | Chen, Z. Zhang, T. Tade, Moses Brooks, G. |
| author_sort | Chen, Z. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we aim to investigate the dynamics and existence of periodic solutions of a state-dependent impulsive model for continuous flow bioreactors. In this model, the Monod’s growth rate is employed and an impulsive control strategy is used to control the quantity of microorganisms. Our study shows all solutions of the model are bounded; and the order-1 periodic solution exists under certain conditions. At the end of this paper, numerical simulations have been carried out to demonstrate our theoretical results and the performance of the bioreactor. |
| first_indexed | 2025-11-14T09:58:50Z |
| format | Journal Article |
| id | curtin-20.500.11937-54442 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:58:50Z |
| publishDate | 2017 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-544422017-11-10T03:51:42Z Existence of periodic solutions of a continuous flow bioreactor model with impulsive control in microorganisms Chen, Z. Zhang, T. Tade, Moses Brooks, G. In this paper, we aim to investigate the dynamics and existence of periodic solutions of a state-dependent impulsive model for continuous flow bioreactors. In this model, the Monod’s growth rate is employed and an impulsive control strategy is used to control the quantity of microorganisms. Our study shows all solutions of the model are bounded; and the order-1 periodic solution exists under certain conditions. At the end of this paper, numerical simulations have been carried out to demonstrate our theoretical results and the performance of the bioreactor. 2017 Journal Article http://hdl.handle.net/20.500.11937/54442 10.1007/s12190-015-0977-4 Springer restricted |
| spellingShingle | Chen, Z. Zhang, T. Tade, Moses Brooks, G. Existence of periodic solutions of a continuous flow bioreactor model with impulsive control in microorganisms |
| title | Existence of periodic solutions of a continuous flow bioreactor model with impulsive control in microorganisms |
| title_full | Existence of periodic solutions of a continuous flow bioreactor model with impulsive control in microorganisms |
| title_fullStr | Existence of periodic solutions of a continuous flow bioreactor model with impulsive control in microorganisms |
| title_full_unstemmed | Existence of periodic solutions of a continuous flow bioreactor model with impulsive control in microorganisms |
| title_short | Existence of periodic solutions of a continuous flow bioreactor model with impulsive control in microorganisms |
| title_sort | existence of periodic solutions of a continuous flow bioreactor model with impulsive control in microorganisms |
| url | http://hdl.handle.net/20.500.11937/54442 |