Global Behaviors and Optimal Harvesting of a Class of Impulsive Periodic Logistic Single-Species System with Continuous Periodic Control Strategy
<p/> <p>Global behaviors and optimal harvesting of a class of impulsive periodic logistic single-species system with continuous periodic control strategy is investigated. Four new sufficient conditions that guarantee the exponential stability of the impulsive evolution operator introduce...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2008/192353 |
| _version_ | 1819010685658464256 |
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| author | Xiang X Wei W Wang JinRong |
| author_facet | Xiang X Wei W Wang JinRong |
| author_sort | Xiang X |
| collection | DOAJ |
| description | <p/> <p>Global behaviors and optimal harvesting of a class of impulsive periodic logistic single-species system with continuous periodic control strategy is investigated. Four new sufficient conditions that guarantee the exponential stability of the impulsive evolution operator introduced by us are given. By virtue of exponential stability of the impulsive evolution operator, we present the existence, uniqueness and global asymptotical stability of periodic solutions. Further, the existence result of periodic optimal controls for a Bolza problem is given. At last, an academic example is given for demonstration.</p> |
| first_indexed | 2024-12-21T01:16:12Z |
| format | Article |
| id | doaj.art-2302e6cc123f46d9a33c5a23baab5938 |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-21T01:16:12Z |
| publishDate | 2008-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-2302e6cc123f46d9a33c5a23baab59382022-12-21T19:20:46ZengSpringerOpenBoundary Value Problems1687-27621687-27702008-01-0120081192353Global Behaviors and Optimal Harvesting of a Class of Impulsive Periodic Logistic Single-Species System with Continuous Periodic Control StrategyXiang XWei WWang JinRong<p/> <p>Global behaviors and optimal harvesting of a class of impulsive periodic logistic single-species system with continuous periodic control strategy is investigated. Four new sufficient conditions that guarantee the exponential stability of the impulsive evolution operator introduced by us are given. By virtue of exponential stability of the impulsive evolution operator, we present the existence, uniqueness and global asymptotical stability of periodic solutions. Further, the existence result of periodic optimal controls for a Bolza problem is given. At last, an academic example is given for demonstration.</p>http://www.boundaryvalueproblems.com/content/2008/192353 |
| spellingShingle | Xiang X Wei W Wang JinRong Global Behaviors and Optimal Harvesting of a Class of Impulsive Periodic Logistic Single-Species System with Continuous Periodic Control Strategy Boundary Value Problems |
| title | Global Behaviors and Optimal Harvesting of a Class of Impulsive Periodic Logistic Single-Species System with Continuous Periodic Control Strategy |
| title_full | Global Behaviors and Optimal Harvesting of a Class of Impulsive Periodic Logistic Single-Species System with Continuous Periodic Control Strategy |
| title_fullStr | Global Behaviors and Optimal Harvesting of a Class of Impulsive Periodic Logistic Single-Species System with Continuous Periodic Control Strategy |
| title_full_unstemmed | Global Behaviors and Optimal Harvesting of a Class of Impulsive Periodic Logistic Single-Species System with Continuous Periodic Control Strategy |
| title_short | Global Behaviors and Optimal Harvesting of a Class of Impulsive Periodic Logistic Single-Species System with Continuous Periodic Control Strategy |
| title_sort | global behaviors and optimal harvesting of a class of impulsive periodic logistic single species system with continuous periodic control strategy |
| url | http://www.boundaryvalueproblems.com/content/2008/192353 |
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