Hopf Bifurcation Analysis of a Predator-Prey Biological Economic System with Nonselective Harvesting
A modified predator-prey biological economic system with nonselective harvesting is investigated. An important mathematical feature of the system is that the economic profit on the predator-prey system is investigated from an economic perspective. By using the local parameterization method and Hopf...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/264321 |
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| _version_ | 1832545931056119808 |
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| author | Biwen Li Zhenwei Li Boshan Chen Gan Wang |
| author_facet | Biwen Li Zhenwei Li Boshan Chen Gan Wang |
| author_sort | Biwen Li |
| collection | DOAJ |
| description | A modified predator-prey biological economic system with nonselective harvesting is investigated. An important mathematical feature of the system is that the economic profit on the predator-prey system is investigated from an economic perspective. By using the local parameterization method and Hopf bifurcation theorem, we analyze the Hopf bifurcation of the proposed system. In addition, the modified model enriches the database for the predator-prey biological economic system. Finally, numerical simulations illustrate the effectiveness of our results. |
| format | Article |
| id | doaj-art-7e459029cd54457fbe0dcf864adb2983 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-7e459029cd54457fbe0dcf864adb29832025-02-03T07:24:21ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/264321264321Hopf Bifurcation Analysis of a Predator-Prey Biological Economic System with Nonselective HarvestingBiwen Li0Zhenwei Li1Boshan Chen2Gan Wang3School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, ChinaSchool of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, ChinaSchool of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, ChinaSchool of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, ChinaA modified predator-prey biological economic system with nonselective harvesting is investigated. An important mathematical feature of the system is that the economic profit on the predator-prey system is investigated from an economic perspective. By using the local parameterization method and Hopf bifurcation theorem, we analyze the Hopf bifurcation of the proposed system. In addition, the modified model enriches the database for the predator-prey biological economic system. Finally, numerical simulations illustrate the effectiveness of our results.http://dx.doi.org/10.1155/2015/264321 |
| spellingShingle | Biwen Li Zhenwei Li Boshan Chen Gan Wang Hopf Bifurcation Analysis of a Predator-Prey Biological Economic System with Nonselective Harvesting Discrete Dynamics in Nature and Society |
| title | Hopf Bifurcation Analysis of a Predator-Prey Biological Economic System with Nonselective Harvesting |
| title_full | Hopf Bifurcation Analysis of a Predator-Prey Biological Economic System with Nonselective Harvesting |
| title_fullStr | Hopf Bifurcation Analysis of a Predator-Prey Biological Economic System with Nonselective Harvesting |
| title_full_unstemmed | Hopf Bifurcation Analysis of a Predator-Prey Biological Economic System with Nonselective Harvesting |
| title_short | Hopf Bifurcation Analysis of a Predator-Prey Biological Economic System with Nonselective Harvesting |
| title_sort | hopf bifurcation analysis of a predator prey biological economic system with nonselective harvesting |
| url | http://dx.doi.org/10.1155/2015/264321 |
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