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• W1974652010 abstract "We propose a three-dimensional stage-structured predatory-prey model with discrete and distributed delays. By use of a new variable, the original three-dimensional system transforms into an equivalent four-dimensional system. Firstly, we study the existence and local stability of positive equilibrium of the new system. And, by choosing the time delay<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:mi>τ</mml:mi></mml:mrow></mml:math>as a bifurcation parameter, we show that Hopf bifurcation may occur as the time delay<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:mi>τ</mml:mi></mml:mrow></mml:math>passes through some critical values. Secondly, by use of normal form theory and central manifold argument, we establish the direction and stability of Hopf bifurcation. At last, some simple discussion is presented." @default.
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• W1974652010 date "2013-01-01" @default.
• W1974652010 modified "2023-10-15" @default.
• W1974652010 title "Stability and Hopf Bifurcation Analysis for a Stage-Structured Predator-Prey Model with Discrete and Distributed Delays" @default.
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• W1974652010 doi "https://doi.org/10.1155/2013/201936" @default.
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