A Delayed Chemostat Model with Impulsive Diffusion and Input on Nutrients
<p/> <p>A chemostat model with delayed response in growth and impulsive diffusion and input on nutrients is considered. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is globally attractive. The...
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| Format: | Article |
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SpringerOpen
2009-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2009/514240 |
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doaj-66726dda4afd44c7a3892a4ef16070962020-11-25T00:22:19ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472009-01-0120091514240A Delayed Chemostat Model with Impulsive Diffusion and Input on NutrientsJiao JianjunCai Shaohong<p/> <p>A chemostat model with delayed response in growth and impulsive diffusion and input on nutrients is considered. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is globally attractive. The permanent condition of the investigated system is also obtained by the theory on impulsive delay differential equation. Finally, numerical analysis is inserted to illustrate dynamical behaviors of the chemostat system. Our results reveal that the impulsive input amount of nutrients plays an important role on the outcome of the chemostat. Our results provide strategy basis for biochemical reaction management.</p> http://www.advancesindifferenceequations.com/content/2009/514240 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jiao Jianjun Cai Shaohong |
| spellingShingle |
Jiao Jianjun Cai Shaohong A Delayed Chemostat Model with Impulsive Diffusion and Input on Nutrients Advances in Difference Equations |
| author_facet |
Jiao Jianjun Cai Shaohong |
| author_sort |
Jiao Jianjun |
| title |
A Delayed Chemostat Model with Impulsive Diffusion and Input on Nutrients |
| title_short |
A Delayed Chemostat Model with Impulsive Diffusion and Input on Nutrients |
| title_full |
A Delayed Chemostat Model with Impulsive Diffusion and Input on Nutrients |
| title_fullStr |
A Delayed Chemostat Model with Impulsive Diffusion and Input on Nutrients |
| title_full_unstemmed |
A Delayed Chemostat Model with Impulsive Diffusion and Input on Nutrients |
| title_sort |
delayed chemostat model with impulsive diffusion and input on nutrients |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 1687-1847 |
| publishDate |
2009-01-01 |
| description |
<p/> <p>A chemostat model with delayed response in growth and impulsive diffusion and input on nutrients is considered. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is globally attractive. The permanent condition of the investigated system is also obtained by the theory on impulsive delay differential equation. Finally, numerical analysis is inserted to illustrate dynamical behaviors of the chemostat system. Our results reveal that the impulsive input amount of nutrients plays an important role on the outcome of the chemostat. Our results provide strategy basis for biochemical reaction management.</p> |
| url |
http://www.advancesindifferenceequations.com/content/2009/514240 |
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