Extinction of a two species competitive stage-structured system with the effect of toxic substance and harvesting
The extinction property of a two species competitive stage-structured phytoplankton system with harvesting is studied in this paper. Several sets of sufficient conditions which ensure that one of the components will be driven to extinction are established. Our results supplement and complement the r...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2019-07-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2019-0067 |
| _version_ | 1819290990907752448 |
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| author | Huang Xiaoyan Chen Fengde Xie Xiangdong Zhao Liang |
| author_facet | Huang Xiaoyan Chen Fengde Xie Xiangdong Zhao Liang |
| author_sort | Huang Xiaoyan |
| collection | DOAJ |
| description | The extinction property of a two species competitive stage-structured phytoplankton system with harvesting is studied in this paper. Several sets of sufficient conditions which ensure that one of the components will be driven to extinction are established. Our results supplement and complement the results of Li and Chen [Extinction in periodic competitive stage-structured Lotka-Volterra model with the effects of toxic substances, J. Comput. Appl. Math., 2009, 231(1), 143-153] and Liu, Chen, Luo et al. [Extinction and permanence in nonautonomous competitive system with stage structure, J. Math. Anal. Appl., 2002, 274(2), 667-684]. |
| first_indexed | 2024-12-24T03:31:32Z |
| format | Article |
| id | doaj.art-b3c57a7f5dcf4222a39d0a4e5b8b3f8e |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-24T03:31:32Z |
| publishDate | 2019-07-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-b3c57a7f5dcf4222a39d0a4e5b8b3f8e2022-12-21T17:17:11ZengDe GruyterOpen Mathematics2391-54552019-07-0117185687310.1515/math-2019-0067math-2019-0067Extinction of a two species competitive stage-structured system with the effect of toxic substance and harvestingHuang Xiaoyan0Chen Fengde1Xie Xiangdong2Zhao Liang3College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, P. R. ChinaCollege of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, P. R. ChinaDepartment of Mathematics, Ningde Normal University, Ningde, Fujian, 352300, P. R. ChinaSchool of Information and Statistics, Guangxi University of Finance and Economics„, Nanning, Guangxi, 530003, P. R. ChinaThe extinction property of a two species competitive stage-structured phytoplankton system with harvesting is studied in this paper. Several sets of sufficient conditions which ensure that one of the components will be driven to extinction are established. Our results supplement and complement the results of Li and Chen [Extinction in periodic competitive stage-structured Lotka-Volterra model with the effects of toxic substances, J. Comput. Appl. Math., 2009, 231(1), 143-153] and Liu, Chen, Luo et al. [Extinction and permanence in nonautonomous competitive system with stage structure, J. Math. Anal. Appl., 2002, 274(2), 667-684].https://doi.org/10.1515/math-2019-0067extinctioncompetitionstage-structuredtoxicologyharvesting34-xx |
| spellingShingle | Huang Xiaoyan Chen Fengde Xie Xiangdong Zhao Liang Extinction of a two species competitive stage-structured system with the effect of toxic substance and harvesting Open Mathematics extinction competition stage-structured toxicology harvesting 34-xx |
| title | Extinction of a two species competitive stage-structured system with the effect of toxic substance and harvesting |
| title_full | Extinction of a two species competitive stage-structured system with the effect of toxic substance and harvesting |
| title_fullStr | Extinction of a two species competitive stage-structured system with the effect of toxic substance and harvesting |
| title_full_unstemmed | Extinction of a two species competitive stage-structured system with the effect of toxic substance and harvesting |
| title_short | Extinction of a two species competitive stage-structured system with the effect of toxic substance and harvesting |
| title_sort | extinction of a two species competitive stage structured system with the effect of toxic substance and harvesting |
| topic | extinction competition stage-structured toxicology harvesting 34-xx |
| url | https://doi.org/10.1515/math-2019-0067 |
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