Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect
In this paper, in order to explore the inhibition mechanism of algicidal bacteria on algae, we constructed an aquatic amensalism model with non-selective harvesting and Allee effect. Mathematical works mainly gave some critical conditions to guarantee the existence and stability of equilibrium point...
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AIMS Press
2021-10-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2021437?viewType=HTML |
| _version_ | 1818997416888631296 |
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| author | Huanyi Liu Hengguo Yu Chuanjun Dai Zengling Ma Qi Wang Min Zhao |
| author_facet | Huanyi Liu Hengguo Yu Chuanjun Dai Zengling Ma Qi Wang Min Zhao |
| author_sort | Huanyi Liu |
| collection | DOAJ |
| description | In this paper, in order to explore the inhibition mechanism of algicidal bacteria on algae, we constructed an aquatic amensalism model with non-selective harvesting and Allee effect. Mathematical works mainly gave some critical conditions to guarantee the existence and stability of equilibrium points, and derived some threshold conditions for saddle-node bifurcation and transcritical bifurcation. Numerical simulation works mainly revealed that non-selective harvesting played an important role in amensalism dynamic relationship. Meanwhile, we proposed some biological explanations for transcritical bifurcation and saddle-node bifurcation from the aspect of algicidal bacteria controlling algae. Finally, all these results were expected to be useful in studying dynamical behaviors of aquatic amensalism ecosystems and biological algae controlling technology. |
| first_indexed | 2024-12-20T21:45:18Z |
| format | Article |
| id | doaj.art-f1111c9db6464fd5b8abd1d4f465a8b7 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-12-20T21:45:18Z |
| publishDate | 2021-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-f1111c9db6464fd5b8abd1d4f465a8b72022-12-21T19:25:42ZengAIMS PressMathematical Biosciences and Engineering1551-00182021-10-011868857888210.3934/mbe.2021437Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effectHuanyi Liu0Hengguo Yu1Chuanjun Dai 2Zengling Ma3Qi Wang 4Min Zhao51. Key Laboratory for Subtropical Oceans & Lakes Environment and Biological Resources Utilization Technology of Zhejiang, Wenzhou University, Wenzhou, Zhejiang, 325035, China 2. School of Mathematics and Physics, Wenzhou University, Wenzhou, Zhejiang, 325035, China1. Key Laboratory for Subtropical Oceans & Lakes Environment and Biological Resources Utilization Technology of Zhejiang, Wenzhou University, Wenzhou, Zhejiang, 325035, China 2. School of Mathematics and Physics, Wenzhou University, Wenzhou, Zhejiang, 325035, China1. Key Laboratory for Subtropical Oceans & Lakes Environment and Biological Resources Utilization Technology of Zhejiang, Wenzhou University, Wenzhou, Zhejiang, 325035, China3. School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang, 325035, China1. Key Laboratory for Subtropical Oceans & Lakes Environment and Biological Resources Utilization Technology of Zhejiang, Wenzhou University, Wenzhou, Zhejiang, 325035, China3. School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang, 325035, China1. Key Laboratory for Subtropical Oceans & Lakes Environment and Biological Resources Utilization Technology of Zhejiang, Wenzhou University, Wenzhou, Zhejiang, 325035, China3. School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang, 325035, China1. Key Laboratory for Subtropical Oceans & Lakes Environment and Biological Resources Utilization Technology of Zhejiang, Wenzhou University, Wenzhou, Zhejiang, 325035, China3. School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang, 325035, ChinaIn this paper, in order to explore the inhibition mechanism of algicidal bacteria on algae, we constructed an aquatic amensalism model with non-selective harvesting and Allee effect. Mathematical works mainly gave some critical conditions to guarantee the existence and stability of equilibrium points, and derived some threshold conditions for saddle-node bifurcation and transcritical bifurcation. Numerical simulation works mainly revealed that non-selective harvesting played an important role in amensalism dynamic relationship. Meanwhile, we proposed some biological explanations for transcritical bifurcation and saddle-node bifurcation from the aspect of algicidal bacteria controlling algae. Finally, all these results were expected to be useful in studying dynamical behaviors of aquatic amensalism ecosystems and biological algae controlling technology.https://www.aimspress.com/article/doi/10.3934/mbe.2021437?viewType=HTMLamensalism modelallee effectharvesttranscritical bifurcationsaddle-node bifurcation |
| spellingShingle | Huanyi Liu Hengguo Yu Chuanjun Dai Zengling Ma Qi Wang Min Zhao Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect Mathematical Biosciences and Engineering amensalism model allee effect harvest transcritical bifurcation saddle-node bifurcation |
| title | Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect |
| title_full | Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect |
| title_fullStr | Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect |
| title_full_unstemmed | Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect |
| title_short | Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect |
| title_sort | dynamical analysis of an aquatic amensalism model with non selective harvesting and allee effect |
| topic | amensalism model allee effect harvest transcritical bifurcation saddle-node bifurcation |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2021437?viewType=HTML |
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