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Stability and global Hopf bifurcation analysis on a ratio-dependent predator-prey model with two time delays - MaRDI portal

Stability and global Hopf bifurcation analysis on a ratio-dependent predator-prey model with two time delays (Q2015362)

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scientific article; zbMATH DE number 6306653
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Stability and global Hopf bifurcation analysis on a ratio-dependent predator-prey model with two time delays
scientific article; zbMATH DE number 6306653

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    Stability and global Hopf bifurcation analysis on a ratio-dependent predator-prey model with two time delays (English)
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    23 June 2014
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    Summary: A ratio-dependent predator-prey model with two time delays is studied. By means of an iteration technique, sufficient conditions are obtained for the global attractiveness of the positive equilibrium. Using a global Hopf bifurcation result of Wu (1998) for functional differential equations, the global existence of periodic solutions is obtained. Finally, an example for numerical simulations is also included.
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