Stability and Hopf bifurcation analysis on a Bazykin model with delay (Q1724351)
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scientific article; zbMATH DE number 7022582
| Language | Label | Description | Also known as |
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| English | Stability and Hopf bifurcation analysis on a Bazykin model with delay |
scientific article; zbMATH DE number 7022582 |
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Stability and Hopf bifurcation analysis on a Bazykin model with delay (English)
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14 February 2019
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Summary: The dynamics of a prey-predator system with a finite delay is investigated. We show that a sequence of Hopf bifurcations occurs at the positive equilibrium as the delay increases. By using the theory of normal form and center manifold, explicit expressions for determining the direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions are derived.
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predator-prey Bazykin model
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stability
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Hopf bifurcation
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