Convergence in a resource-based competition system (Q1820091)
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scientific article; zbMATH DE number 3993367
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence in a resource-based competition system |
scientific article; zbMATH DE number 3993367 |
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Convergence in a resource-based competition system (English)
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1986
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This paper studies a generalized Lotka-Volterra system which describes a resource-based competition model consisting of two species which depend exclusively on one resource: this is supposed to be self-renewing in a logistic way. The two species are also subject to intraspecific and interspecific interference. Sufficient conditions are given for the existence of a globally attractive positive equilibrium solution. The result has been proved when the interactions are of linear nature but the nonlinear case is also discussed.
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convergence
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two consumer species
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one resource species
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exploitation
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method of asymptotic estimates
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equilibrium persistence
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generalized Lotka-Volterra system
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resource-based competition model
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interference
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globally attractive positive equilibrium solution
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