Stability of steady-state solutions to a prey--predator system with cross-diffusion. (Q1426093)
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scientific article; zbMATH DE number 2056521
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of steady-state solutions to a prey--predator system with cross-diffusion. |
scientific article; zbMATH DE number 2056521 |
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Stability of steady-state solutions to a prey--predator system with cross-diffusion. (English)
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14 March 2004
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The author investigates a Lotka-Volterra prey-predator model with cross-diffusion effects. The stability of the coexistence steady-states is studied. Criteria on the stability of the coexistence steady-states are obtained. The author proves that the Hopf bifurcation phenomenon on steady-states occurs under certain conditions.
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stability
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Hopf bifurcation
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Lyapunov-Schmit reduction
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steady-state
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cross diffusion
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0.96572876
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0.95106184
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0.94060016
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0.9385318
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0.9365724
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0.93646055
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