Food chain model with optimal harvesting in fuzzy environment (Q711500)
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scientific article; zbMATH DE number 5805982
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Food chain model with optimal harvesting in fuzzy environment |
scientific article; zbMATH DE number 5805982 |
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Food chain model with optimal harvesting in fuzzy environment (English)
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26 October 2010
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For a system of three logistic-type differential equations describing the dynamics of a predator, prey and a super predator under proportional harvesting of all species, conditions for global stability are derived by using Lyapunov's direct method. Existence of a bio-economic equilibrium and optimal harvesting policy under imprecise inflation in a fuzzy environment are also studied. A numerical example is considered in the final part of the paper.
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predator-prey model
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super predator
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equilibrium points
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stability
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harvesting
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optimal control
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