Dynamic analysis of a new aquatic ecological model based on physical and ecological integrated control
Within the framework of physical and ecological integrated control of cyanobacteria bloom, because the outbreak of cyanobacteria bloom can form cyanobacteria clustering phenomenon, so a new aquatic ecological model with clustering behavior is proposed to describe the dynamic relationship between cya...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023043?viewType=HTML |
| _version_ | 1797985216041582592 |
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| author | Qiulin Huang Hengguo Yu Chuanjun Dai Zengling Ma Qi Wang Min Zhao |
| author_facet | Qiulin Huang Hengguo Yu Chuanjun Dai Zengling Ma Qi Wang Min Zhao |
| author_sort | Qiulin Huang |
| collection | DOAJ |
| description | Within the framework of physical and ecological integrated control of cyanobacteria bloom, because the outbreak of cyanobacteria bloom can form cyanobacteria clustering phenomenon, so a new aquatic ecological model with clustering behavior is proposed to describe the dynamic relationship between cyanobacteria and potential grazers. The biggest advantage of the model is that it depicts physical spraying treatment technology into the existence pattern of cyanobacteria, then integrates the physical and ecological integrated control with the aggregation of cyanobacteria. Mathematical theory works mainly investigate some key threshold conditions to induce Transcritical bifurcation and Hopf bifurcation of the model (2.1), which can force cyanobacteria and potential grazers to form steady-state coexistence mode and periodic oscillation coexistence mode respectively. Numerical simulation works not only explore the influence of clustering on the dynamic relationship between cyanobacteria and potential grazers, but also dynamically show the evolution process of Transcritical bifurcation and Hopf bifurcation, which can be clearly seen that the density of cyanobacteria decreases gradually with the evolution of bifurcation dynamics. Furthermore, it should be worth explaining that the most important role of physical spraying treatment technology can break up clumps of cyanobacteria in the process of controlling cyanobacteria bloom, but cannot change the dynamic essential characteristics of cyanobacteria and potential grazers represented by the model (2.1), this result implies that the physical spraying treatment technology cannot fundamentally eliminate cyanobacteria bloom. In a word, it is hoped that the results of this paper can provide some theoretical support for the physical and ecological integrated control of cyanobacteria bloom. |
| first_indexed | 2024-04-11T07:13:46Z |
| format | Article |
| id | doaj.art-c1d8413e330e40cab1f8121a2be0f929 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-11T07:13:46Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-c1d8413e330e40cab1f8121a2be0f9292022-12-22T04:38:04ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-01-0120193095410.3934/mbe.2023043Dynamic analysis of a new aquatic ecological model based on physical and ecological integrated controlQiulin Huang0Hengguo Yu1Chuanjun Dai 2Zengling Ma3Qi Wang4Min Zhao51. Key Laboratory for Subtropical Oceans & Lakes Environment and Biological Resources Utilization Technology of Zhejiang, Wenzhou University, Wenzhou 325035, China 2. School of Mathematics and Physics, Wenzhou University, Wenzhou 325035, China1. Key Laboratory for Subtropical Oceans & Lakes Environment and Biological Resources Utilization Technology of Zhejiang, Wenzhou University, Wenzhou 325035, China 2. School of Mathematics and Physics, Wenzhou University, Wenzhou 325035, China1. Key Laboratory for Subtropical Oceans & Lakes Environment and Biological Resources Utilization Technology of Zhejiang, Wenzhou University, Wenzhou 325035, China3. School of Life and Environmental Science, Wenzhou University, Wenzhou 325035, China1. Key Laboratory for Subtropical Oceans & Lakes Environment and Biological Resources Utilization Technology of Zhejiang, Wenzhou University, Wenzhou 325035, China3. School of Life and Environmental Science, Wenzhou University, Wenzhou 325035, China1. Key Laboratory for Subtropical Oceans & Lakes Environment and Biological Resources Utilization Technology of Zhejiang, Wenzhou University, Wenzhou 325035, China3. School of Life and Environmental Science, Wenzhou University, Wenzhou 325035, China1. Key Laboratory for Subtropical Oceans & Lakes Environment and Biological Resources Utilization Technology of Zhejiang, Wenzhou University, Wenzhou 325035, China3. School of Life and Environmental Science, Wenzhou University, Wenzhou 325035, ChinaWithin the framework of physical and ecological integrated control of cyanobacteria bloom, because the outbreak of cyanobacteria bloom can form cyanobacteria clustering phenomenon, so a new aquatic ecological model with clustering behavior is proposed to describe the dynamic relationship between cyanobacteria and potential grazers. The biggest advantage of the model is that it depicts physical spraying treatment technology into the existence pattern of cyanobacteria, then integrates the physical and ecological integrated control with the aggregation of cyanobacteria. Mathematical theory works mainly investigate some key threshold conditions to induce Transcritical bifurcation and Hopf bifurcation of the model (2.1), which can force cyanobacteria and potential grazers to form steady-state coexistence mode and periodic oscillation coexistence mode respectively. Numerical simulation works not only explore the influence of clustering on the dynamic relationship between cyanobacteria and potential grazers, but also dynamically show the evolution process of Transcritical bifurcation and Hopf bifurcation, which can be clearly seen that the density of cyanobacteria decreases gradually with the evolution of bifurcation dynamics. Furthermore, it should be worth explaining that the most important role of physical spraying treatment technology can break up clumps of cyanobacteria in the process of controlling cyanobacteria bloom, but cannot change the dynamic essential characteristics of cyanobacteria and potential grazers represented by the model (2.1), this result implies that the physical spraying treatment technology cannot fundamentally eliminate cyanobacteria bloom. In a word, it is hoped that the results of this paper can provide some theoretical support for the physical and ecological integrated control of cyanobacteria bloom.https://www.aimspress.com/article/doi/10.3934/mbe.2023043?viewType=HTMLcyanobacteria bloompotential grazersaggregationhopf bifurcationtranscritical bifurcation |
| spellingShingle | Qiulin Huang Hengguo Yu Chuanjun Dai Zengling Ma Qi Wang Min Zhao Dynamic analysis of a new aquatic ecological model based on physical and ecological integrated control Mathematical Biosciences and Engineering cyanobacteria bloom potential grazers aggregation hopf bifurcation transcritical bifurcation |
| title | Dynamic analysis of a new aquatic ecological model based on physical and ecological integrated control |
| title_full | Dynamic analysis of a new aquatic ecological model based on physical and ecological integrated control |
| title_fullStr | Dynamic analysis of a new aquatic ecological model based on physical and ecological integrated control |
| title_full_unstemmed | Dynamic analysis of a new aquatic ecological model based on physical and ecological integrated control |
| title_short | Dynamic analysis of a new aquatic ecological model based on physical and ecological integrated control |
| title_sort | dynamic analysis of a new aquatic ecological model based on physical and ecological integrated control |
| topic | cyanobacteria bloom potential grazers aggregation hopf bifurcation transcritical bifurcation |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023043?viewType=HTML |
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