Dynamical Properties of a Herbivore-Plankton Impulsive Semidynamic System with Eating Behavior
In this paper, an impulsive semidynamic system of the relationship between plankton and herbivore is established, and the Poincaré map method is used to extend the new properties of the model. We define the Poincaré map of the impulsive point series in phase concentration and analyze the characteris...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/5726895 |
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| _version_ | 1832552104725577728 |
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| author | Yufei Wang Huidong Cheng Qingjian Li |
| author_facet | Yufei Wang Huidong Cheng Qingjian Li |
| author_sort | Yufei Wang |
| collection | DOAJ |
| description | In this paper, an impulsive semidynamic system of the relationship between plankton and herbivore is established, and the Poincaré map method is used to extend the new properties of the model. We define the Poincaré map of the impulsive point series in phase concentration and analyze the characteristics. A comprehensive and detailed analysis of the periodic solution is performed. In addition, the numerical simulations illustrate the correctness of our arguments. The results show that plankton and herbivore can survive stably under effective control. |
| format | Article |
| id | doaj-art-f35c5b0c6a0f46f7bafdacf2d80441ca |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-f35c5b0c6a0f46f7bafdacf2d80441ca2025-02-03T05:59:35ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/57268955726895Dynamical Properties of a Herbivore-Plankton Impulsive Semidynamic System with Eating BehaviorYufei Wang0Huidong Cheng1Qingjian Li2College of Mathematics and System Sciences, Shandong University of Science and Technology, Qingdao 266590, Shandong, ChinaCollege of Mathematics and System Sciences, Shandong University of Science and Technology, Qingdao 266590, Shandong, ChinaCollege of International Office, Shandong University of Science and Technology, Qingdao 266590, Shandong, ChinaIn this paper, an impulsive semidynamic system of the relationship between plankton and herbivore is established, and the Poincaré map method is used to extend the new properties of the model. We define the Poincaré map of the impulsive point series in phase concentration and analyze the characteristics. A comprehensive and detailed analysis of the periodic solution is performed. In addition, the numerical simulations illustrate the correctness of our arguments. The results show that plankton and herbivore can survive stably under effective control.http://dx.doi.org/10.1155/2020/5726895 |
| spellingShingle | Yufei Wang Huidong Cheng Qingjian Li Dynamical Properties of a Herbivore-Plankton Impulsive Semidynamic System with Eating Behavior Complexity |
| title | Dynamical Properties of a Herbivore-Plankton Impulsive Semidynamic System with Eating Behavior |
| title_full | Dynamical Properties of a Herbivore-Plankton Impulsive Semidynamic System with Eating Behavior |
| title_fullStr | Dynamical Properties of a Herbivore-Plankton Impulsive Semidynamic System with Eating Behavior |
| title_full_unstemmed | Dynamical Properties of a Herbivore-Plankton Impulsive Semidynamic System with Eating Behavior |
| title_short | Dynamical Properties of a Herbivore-Plankton Impulsive Semidynamic System with Eating Behavior |
| title_sort | dynamical properties of a herbivore plankton impulsive semidynamic system with eating behavior |
| url | http://dx.doi.org/10.1155/2020/5726895 |
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