Uniqueness of limit cycles in a harvested predator prey system with Holling type III functional response (Q2763776)
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scientific article; zbMATH DE number 1693116
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness of limit cycles in a harvested predator prey system with Holling type III functional response |
scientific article; zbMATH DE number 1693116 |
Statements
26 November 2002
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predator-prey system
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persistence
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uniqueness of limit cycles
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global stability
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Uniqueness of limit cycles in a harvested predator prey system with Holling type III functional response (English)
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Here, the authors study a harvested predator-prey model with Holling type III interaction term. The equilibrium solutions and their asymptotic stability are studied. Conditions of boundedness for the solutions are derived. Some persistence conditions are given. A proof for existence and uniqueness of limit cycles is given. It shows that the asymptotic stability of the positive equilibrium implies its global stability.
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