Single Phytoplankton Species Growth with Nonlocal Crowding Effect Caused by Chemosensory Aggregation in a Water Column
In this paper, we study the existence of positive steady states for a nonlocal reaction-diffusion model which describes the growth of a single phytoplankton species with nonlocal crowding effect caused by chemosensory aggregation in a water column. Our result shows that under some conditions, the no...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/7093749 |
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| _version_ | 1832565693653975040 |
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| author | Yan Wang Jinxiang Wang Xiaobin Yao |
| author_facet | Yan Wang Jinxiang Wang Xiaobin Yao |
| author_sort | Yan Wang |
| collection | DOAJ |
| description | In this paper, we study the existence of positive steady states for a nonlocal reaction-diffusion model which describes the growth of a single phytoplankton species with nonlocal crowding effect caused by chemosensory aggregation in a water column. Our result shows that under some conditions, the nonlocal crowding effect is effective to the existence of steady states of phytoplankton populations. Based on a key boundedness Lemma, the main result is proved by fixed point index theory and some analytical techniques. |
| format | Article |
| id | doaj-art-05aa23376d06444dabb07a468b4bc7d5 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-05aa23376d06444dabb07a468b4bc7d52025-02-03T01:06:47ZengWileyComplexity1099-05262022-01-01202210.1155/2022/7093749Single Phytoplankton Species Growth with Nonlocal Crowding Effect Caused by Chemosensory Aggregation in a Water ColumnYan Wang0Jinxiang Wang1Xiaobin Yao2School of Civil EngineeringDepartment of Applied MathematicsSchool of Mathematics and StatisticsIn this paper, we study the existence of positive steady states for a nonlocal reaction-diffusion model which describes the growth of a single phytoplankton species with nonlocal crowding effect caused by chemosensory aggregation in a water column. Our result shows that under some conditions, the nonlocal crowding effect is effective to the existence of steady states of phytoplankton populations. Based on a key boundedness Lemma, the main result is proved by fixed point index theory and some analytical techniques.http://dx.doi.org/10.1155/2022/7093749 |
| spellingShingle | Yan Wang Jinxiang Wang Xiaobin Yao Single Phytoplankton Species Growth with Nonlocal Crowding Effect Caused by Chemosensory Aggregation in a Water Column Complexity |
| title | Single Phytoplankton Species Growth with Nonlocal Crowding Effect Caused by Chemosensory Aggregation in a Water Column |
| title_full | Single Phytoplankton Species Growth with Nonlocal Crowding Effect Caused by Chemosensory Aggregation in a Water Column |
| title_fullStr | Single Phytoplankton Species Growth with Nonlocal Crowding Effect Caused by Chemosensory Aggregation in a Water Column |
| title_full_unstemmed | Single Phytoplankton Species Growth with Nonlocal Crowding Effect Caused by Chemosensory Aggregation in a Water Column |
| title_short | Single Phytoplankton Species Growth with Nonlocal Crowding Effect Caused by Chemosensory Aggregation in a Water Column |
| title_sort | single phytoplankton species growth with nonlocal crowding effect caused by chemosensory aggregation in a water column |
| url | http://dx.doi.org/10.1155/2022/7093749 |
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