Journal
MATHEMATICAL BIOSCIENCES AND ENGINEERING
Volume 18, Issue 6, Pages 9094-9120Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mbe.2021448
Keywords
predator-prey system; prey refuge; fuzzy number; stability; bionomic equilibrium; fuzzy optimal harvesting
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Funding
- National Natural Science Foundation of China [12101211]
- Program for Innovative Research Team of the Higher Education Institution of Hubei Province [T201812]
- Scientific Research Project of Education Department of Hubei Province [B2020090]
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A novel predator-prey system combining prey refuge with fuzzy parameters is formulated in this manuscript. Sufficient conditions for the existence and stability of biological equilibria are derived, and the existence of bionomic equilibria is discussed under fuzzy biological parameters. The optimal harvesting policy under imprecise inflation and discount in fuzzy environment is investigated using Pontryagin's maximal principle, with meticulous numerical simulations performed to validate the theoretical analysis.
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.
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