Phase portraits, Hopf bifurcations and limit cycles of Leslie-Gower predator-prey systems with harvesting rates (Q986656)
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scientific article; zbMATH DE number 5769107
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Phase portraits, Hopf bifurcations and limit cycles of Leslie-Gower predator-prey systems with harvesting rates |
scientific article; zbMATH DE number 5769107 |
Statements
Phase portraits, Hopf bifurcations and limit cycles of Leslie-Gower predator-prey systems with harvesting rates (English)
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11 August 2010
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The authors study the dynamics of Leslie-Gower predator-prey systems with constant harvesting rates and show that there are two saddle-node bifurcations and also the supercritical or subcritical Hopf bifurcations of limit cycles for the weak foci in such systems.
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Leslie-Gower predator-prey system
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harvesting rate
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phase portrait
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Hopf bifurcation
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limit cycle
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Liapunov number
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0.9417207
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0.92721903
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0.92574775
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0.92103183
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0.91939807
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0.9176876
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