Optimal Management during the Microorganism Culture Based on the Continuous Purifying Effort
This paper deals with the problem of selective harvesting in a chemostat model. Here, we have taken the purifying effort as a dynamic variable and tax as a control instrument. The existence of the possible steady states along with their globally stable equilibrium is discussed. The optimal tax polic...
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Hindawi Limited
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/936024 |
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doaj-61a124618eb549df8d28d54eb4e3e3422020-11-24T22:36:40ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/936024936024Optimal Management during the Microorganism Culture Based on the Continuous Purifying EffortXianbin Wu0Junior College, Zhejiang Wanli University, Zhejiang, Ningbo 315100, ChinaThis paper deals with the problem of selective harvesting in a chemostat model. Here, we have taken the purifying effort as a dynamic variable and tax as a control instrument. The existence of the possible steady states along with their globally stable equilibrium is discussed. The optimal tax policy is also discussed with the help of Pontryagin's maximum principle. Finally, numerical examples are taken to illustrate some of the key results.http://dx.doi.org/10.1155/2012/936024 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Xianbin Wu |
| spellingShingle |
Xianbin Wu Optimal Management during the Microorganism Culture Based on the Continuous Purifying Effort Discrete Dynamics in Nature and Society |
| author_facet |
Xianbin Wu |
| author_sort |
Xianbin Wu |
| title |
Optimal Management during the Microorganism Culture Based on the Continuous Purifying Effort |
| title_short |
Optimal Management during the Microorganism Culture Based on the Continuous Purifying Effort |
| title_full |
Optimal Management during the Microorganism Culture Based on the Continuous Purifying Effort |
| title_fullStr |
Optimal Management during the Microorganism Culture Based on the Continuous Purifying Effort |
| title_full_unstemmed |
Optimal Management during the Microorganism Culture Based on the Continuous Purifying Effort |
| title_sort |
optimal management during the microorganism culture based on the continuous purifying effort |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2012-01-01 |
| description |
This paper deals with the problem of selective harvesting in a chemostat model. Here, we have taken the purifying effort as a dynamic variable and tax as a control instrument. The existence of the possible steady states along with their globally stable equilibrium is discussed. The optimal tax policy is also discussed with the help of Pontryagin's maximum principle. Finally, numerical examples are taken to illustrate some of the key results. |
| url |
http://dx.doi.org/10.1155/2012/936024 |
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AT xianbinwu optimalmanagementduringthemicroorganismculturebasedonthecontinuouspurifyingeffort |
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