The dynamics of an aquatic ecological model with aggregation, Fear and Harvesting Effects
In this paper, we investigate an aquatic ecological model of microcystis aeruginosa-filter feeding fish and predatory fish model with aggregation effect of microcystis aeruginosa. Fear effect of predatory fish on filter feeding fish and harvesting effect of big fish is considered. Mathematical analy...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-08-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20221018?viewType=HTML |
| _version_ | 1828259485244719104 |
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| author | Ashraf Adnan Thirthar Salam J. Majeed Kamal Shah Thabet Abdeljawad |
| author_facet | Ashraf Adnan Thirthar Salam J. Majeed Kamal Shah Thabet Abdeljawad |
| author_sort | Ashraf Adnan Thirthar |
| collection | DOAJ |
| description | In this paper, we investigate an aquatic ecological model of microcystis aeruginosa-filter feeding fish and predatory fish model with aggregation effect of microcystis aeruginosa. Fear effect of predatory fish on filter feeding fish and harvesting effect of big fish is considered. Mathematical analysis includes two parts. The first is theoretical part, which includes proving the positive and constraining solutions of the model. Also finding equilibrium points and studying their local stability is included in this part. In addition, analyzing the local bifurcation of equilibrium points and indicating the type of bifurcation is discussed here. On the other hand, the second part contains the numerical simulation of all the theoretical results, where we compare the numerical values of the conditions obtained in the theoretical part. |
| first_indexed | 2024-04-13T03:09:48Z |
| format | Article |
| id | doaj.art-6fd869fbe11245d49f285634834dca97 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-13T03:09:48Z |
| publishDate | 2022-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-6fd869fbe11245d49f285634834dca972022-12-22T03:05:06ZengAIMS PressAIMS Mathematics2473-69882022-08-01710185321855210.3934/math.20221018The dynamics of an aquatic ecological model with aggregation, Fear and Harvesting EffectsAshraf Adnan Thirthar0Salam J. Majeed1Kamal Shah2Thabet Abdeljawad31. Department of Studies and Planning, University of Fallujah, Anbar, Iraq2. Department of Mathematics, Collage of Computer Science and Mathematics, University of Thi-Qar, Iraq3. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia 4. Department of Mathematics, University of Malakand, Chakdara Dir(L), 18000, Khyber Pakhtunkhwa, Pakistan3. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia5. Department of Medical Research, China Medical University, Taichung 40402, TaiwanIn this paper, we investigate an aquatic ecological model of microcystis aeruginosa-filter feeding fish and predatory fish model with aggregation effect of microcystis aeruginosa. Fear effect of predatory fish on filter feeding fish and harvesting effect of big fish is considered. Mathematical analysis includes two parts. The first is theoretical part, which includes proving the positive and constraining solutions of the model. Also finding equilibrium points and studying their local stability is included in this part. In addition, analyzing the local bifurcation of equilibrium points and indicating the type of bifurcation is discussed here. On the other hand, the second part contains the numerical simulation of all the theoretical results, where we compare the numerical values of the conditions obtained in the theoretical part.https://www.aimspress.com/article/doi/10.3934/math.20221018?viewType=HTMLecologyfear effectharvestinglocal stabilitylocal bifurcation |
| spellingShingle | Ashraf Adnan Thirthar Salam J. Majeed Kamal Shah Thabet Abdeljawad The dynamics of an aquatic ecological model with aggregation, Fear and Harvesting Effects AIMS Mathematics ecology fear effect harvesting local stability local bifurcation |
| title | The dynamics of an aquatic ecological model with aggregation, Fear and Harvesting Effects |
| title_full | The dynamics of an aquatic ecological model with aggregation, Fear and Harvesting Effects |
| title_fullStr | The dynamics of an aquatic ecological model with aggregation, Fear and Harvesting Effects |
| title_full_unstemmed | The dynamics of an aquatic ecological model with aggregation, Fear and Harvesting Effects |
| title_short | The dynamics of an aquatic ecological model with aggregation, Fear and Harvesting Effects |
| title_sort | dynamics of an aquatic ecological model with aggregation fear and harvesting effects |
| topic | ecology fear effect harvesting local stability local bifurcation |
| url | https://www.aimspress.com/article/doi/10.3934/math.20221018?viewType=HTML |
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