The effect of diffusion for the multispecies Lotka--Volterra competition model (Q1870889)
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scientific article; zbMATH DE number 1910227
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The effect of diffusion for the multispecies Lotka--Volterra competition model |
scientific article; zbMATH DE number 1910227 |
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The effect of diffusion for the multispecies Lotka--Volterra competition model (English)
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14 May 2003
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The paper studies the effect of diffusion in existence of non-constant steady states for the Lotke-Volterra competition-diffusion system with three species under Neumann boundary conditions. It is shown that two large diffusion rates prevent the appearance of non-constant steady states while if just one species diffuses fast non-constant equilibria may occur. Degree theory and bifurcation techniques are the main tools in establishing existence.
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non-constant steady states
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competitive system
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three species
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Neumann boundary conditions
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two large diffusion rates
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degree theory
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bifurcation techniques
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