Hopf bifurcation in a two-competitor, one-prey system with time delay (Q2391306)
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scientific article
| Language | Label | Description | Also known as |
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| English | Hopf bifurcation in a two-competitor, one-prey system with time delay |
scientific article |
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Hopf bifurcation in a two-competitor, one-prey system with time delay (English)
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24 July 2009
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The author considers a delayed two-competitor/one-prey system in which both two competitors exhibit Holling II functional response. By choosing the time delay as a bifurcation parameter, it is found that Hopf bifurcation occurs when the delay passes through a certain critical value. Numerical simulations are performed to illustrate the analytical results.
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Hopf bifurcation
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time delay
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functional response
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stability
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periodic solutions
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