Harvesting Renewable Resources of Population with Size Structure and Diffusion
The aim of this work is to explore the optimal exploitation way for a biological resources model incorporating individual’s size difference and spatial effects. The existence of a unique nonnegative solution to the state system is shown by means of Banach’s fixed point theorem, and the continuous de...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/396420 |
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| _version_ | 1849305311843713024 |
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| author | Qiang-Jun Xie Ze-Rong He Chun-Guo Zhang |
| author_facet | Qiang-Jun Xie Ze-Rong He Chun-Guo Zhang |
| author_sort | Qiang-Jun Xie |
| collection | DOAJ |
| description | The aim of this work is to explore the optimal exploitation way for a biological resources model incorporating individual’s size difference and spatial effects. The existence of a unique nonnegative solution to the state system is shown by means of Banach’s fixed point theorem, and the continuous dependence of the population density with the harvesting effort is given. The optimal harvesting strategy is established via normal cone and adjoint system technique. Some conditions are found to assure that there is only one optimal policy. |
| format | Article |
| id | doaj-art-090e407fe9984296bd6830c28592304d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-090e407fe9984296bd6830c28592304d2025-08-20T03:55:29ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/396420396420Harvesting Renewable Resources of Population with Size Structure and DiffusionQiang-Jun Xie0Ze-Rong He1Chun-Guo Zhang2Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018, ChinaInstitute of Operational Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018, ChinaInstitute of Operational Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018, ChinaThe aim of this work is to explore the optimal exploitation way for a biological resources model incorporating individual’s size difference and spatial effects. The existence of a unique nonnegative solution to the state system is shown by means of Banach’s fixed point theorem, and the continuous dependence of the population density with the harvesting effort is given. The optimal harvesting strategy is established via normal cone and adjoint system technique. Some conditions are found to assure that there is only one optimal policy.http://dx.doi.org/10.1155/2014/396420 |
| spellingShingle | Qiang-Jun Xie Ze-Rong He Chun-Guo Zhang Harvesting Renewable Resources of Population with Size Structure and Diffusion Abstract and Applied Analysis |
| title | Harvesting Renewable Resources of Population with Size Structure and Diffusion |
| title_full | Harvesting Renewable Resources of Population with Size Structure and Diffusion |
| title_fullStr | Harvesting Renewable Resources of Population with Size Structure and Diffusion |
| title_full_unstemmed | Harvesting Renewable Resources of Population with Size Structure and Diffusion |
| title_short | Harvesting Renewable Resources of Population with Size Structure and Diffusion |
| title_sort | harvesting renewable resources of population with size structure and diffusion |
| url | http://dx.doi.org/10.1155/2014/396420 |
| work_keys_str_mv | AT qiangjunxie harvestingrenewableresourcesofpopulationwithsizestructureanddiffusion AT zeronghe harvestingrenewableresourcesofpopulationwithsizestructureanddiffusion AT chunguozhang harvestingrenewableresourcesofpopulationwithsizestructureanddiffusion |