Bifurcations in a predator-prey model with memory and diffusion. I: Andronov-Hopf bifurcation (Q1320447)
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scientific article; zbMATH DE number 556288
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcations in a predator-prey model with memory and diffusion. I: Andronov-Hopf bifurcation |
scientific article; zbMATH DE number 556288 |
Statements
Bifurcations in a predator-prey model with memory and diffusion. I: Andronov-Hopf bifurcation (English)
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24 April 1994
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A fairly realistic autonomous predator-prey model is considered. Stability of nontrivial equilibrium points is studied in detail. In a special case an Andronov-Hopf bifurcation is calculated when the carrying capacity is increased. For a model with memory conditions stability is established and an Andronov-Hopf bifurcation is calculated when the delay is increased.
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stability of nontrivial equilibrium points
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autonomous predator-prey model
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Andronov-Hopf bifurcation
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carrying capacity
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memory conditions
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delay
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