Harvesting of a Single-Species System Incorporating Stage Structure and Toxicity
A single species stage-structured model incorporating both toxicant and harvesting is proposed and studied. It is shown that toxicant has no influence on the persistent property of the system. The existence of the bionomic equilibrium is also studied. After that, we consider the system with variable...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2009/290123 |
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| _version_ | 1849397571355672576 |
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| author | Huiling Wu Fengde Chen |
| author_facet | Huiling Wu Fengde Chen |
| author_sort | Huiling Wu |
| collection | DOAJ |
| description | A single species stage-structured model incorporating both toxicant and
harvesting is proposed and studied. It is shown that toxicant has no influence on the persistent property of the system. The existence of the bionomic equilibrium is also studied. After that, we consider the system with variable harvest effect; sufficient conditions are obtained for the global stability of bionomic equilibrium by constructing
a suitable Lyapunov function. The optimal policy is also investigated by using Pontryagin's maximal principle. Some numeric simulations are carried out to illustrate the feasibility of the main results. We end this paper by a brief discussion. |
| format | Article |
| id | doaj-art-ac8789afcccf4ef48fd38504a82d6a6a |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-ac8789afcccf4ef48fd38504a82d6a6a2025-08-20T03:38:56ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2009-01-01200910.1155/2009/290123290123Harvesting of a Single-Species System Incorporating Stage Structure and ToxicityHuiling Wu0Fengde Chen1College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian, 350002, ChinaCollege of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian, 350002, ChinaA single species stage-structured model incorporating both toxicant and harvesting is proposed and studied. It is shown that toxicant has no influence on the persistent property of the system. The existence of the bionomic equilibrium is also studied. After that, we consider the system with variable harvest effect; sufficient conditions are obtained for the global stability of bionomic equilibrium by constructing a suitable Lyapunov function. The optimal policy is also investigated by using Pontryagin's maximal principle. Some numeric simulations are carried out to illustrate the feasibility of the main results. We end this paper by a brief discussion.http://dx.doi.org/10.1155/2009/290123 |
| spellingShingle | Huiling Wu Fengde Chen Harvesting of a Single-Species System Incorporating Stage Structure and Toxicity Discrete Dynamics in Nature and Society |
| title | Harvesting of a Single-Species System Incorporating Stage Structure and Toxicity |
| title_full | Harvesting of a Single-Species System Incorporating Stage Structure and Toxicity |
| title_fullStr | Harvesting of a Single-Species System Incorporating Stage Structure and Toxicity |
| title_full_unstemmed | Harvesting of a Single-Species System Incorporating Stage Structure and Toxicity |
| title_short | Harvesting of a Single-Species System Incorporating Stage Structure and Toxicity |
| title_sort | harvesting of a single species system incorporating stage structure and toxicity |
| url | http://dx.doi.org/10.1155/2009/290123 |
| work_keys_str_mv | AT huilingwu harvestingofasinglespeciessystemincorporatingstagestructureandtoxicity AT fengdechen harvestingofasinglespeciessystemincorporatingstagestructureandtoxicity |