Stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters
In this manuscript, a novel predator-prey system combining prey refuge with fuzzy parameters is formulated. Sufficient conditions for the existence and stability of biological equilibria are derived. The existence of bionomic equilibria is discussed under fuzzy biological parameters. The optimal har...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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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.2021448?viewType=HTML |
| _version_ | 1818857915802451968 |
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| author | Qinglong Wang Shuqi Zhai Qi Liu Zhijun Liu |
| author_facet | Qinglong Wang Shuqi Zhai Qi Liu Zhijun Liu |
| author_sort | Qinglong Wang |
| collection | DOAJ |
| description | In this manuscript, a novel predator-prey system combining prey refuge with fuzzy parameters is formulated. Sufficient conditions for the existence and stability of biological equilibria are derived. The existence of bionomic equilibria is discussed under fuzzy biological parameters. The optimal harvesting policy, by Pontryagin's maximal principle, is also investigated under imprecise inflation and discount in fuzzy environment. Meticulous numerical simulations are performed to validate our theoretical analysis in detail. |
| first_indexed | 2024-12-19T08:47:59Z |
| format | Article |
| id | doaj.art-966516f4922344d08b4538af53df6d06 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-12-19T08:47:59Z |
| publishDate | 2021-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-966516f4922344d08b4538af53df6d062022-12-21T20:28:47ZengAIMS PressMathematical Biosciences and Engineering1551-00182021-10-011869094912010.3934/mbe.2021448Stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parametersQinglong Wang0Shuqi Zhai1Qi Liu 2Zhijun Liu3School of Mathematics and Statistics, Hubei Minzu University, Enshi, Hubei 445000, ChinaSchool of Mathematics and Statistics, Hubei Minzu University, Enshi, Hubei 445000, ChinaSchool of Mathematics and Statistics, Hubei Minzu University, Enshi, Hubei 445000, ChinaSchool of Mathematics and Statistics, Hubei Minzu University, Enshi, Hubei 445000, ChinaIn this manuscript, a novel predator-prey system combining prey refuge with fuzzy parameters is formulated. Sufficient conditions for the existence and stability of biological equilibria are derived. The existence of bionomic equilibria is discussed under fuzzy biological parameters. The optimal harvesting policy, by Pontryagin's maximal principle, is also investigated under imprecise inflation and discount in fuzzy environment. Meticulous numerical simulations are performed to validate our theoretical analysis in detail.https://www.aimspress.com/article/doi/10.3934/mbe.2021448?viewType=HTMLpredator-prey systemprey refugefuzzy numberstabilitybionomic equilibriumfuzzy optimal harvesting |
| spellingShingle | Qinglong Wang Shuqi Zhai Qi Liu Zhijun Liu Stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters Mathematical Biosciences and Engineering predator-prey system prey refuge fuzzy number stability bionomic equilibrium fuzzy optimal harvesting |
| title | Stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters |
| title_full | Stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters |
| title_fullStr | Stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters |
| title_full_unstemmed | Stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters |
| title_short | Stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters |
| title_sort | stability and optimal harvesting of a predator prey system combining prey refuge with fuzzy biological parameters |
| topic | predator-prey system prey refuge fuzzy number stability bionomic equilibrium fuzzy optimal harvesting |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2021448?viewType=HTML |
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