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- W2376076281 abstract "The stability and Hopf bifurcation about Lotka-Volterra model with discrete and distributed delay are investigated.According to the theory of characteristic equation and regarding the delay as parameter,necessary and sufficient condition for the local asymptotical stability of the steady state and the sufficient condition the existence of Hopf bifurcation are obtained.In term of the center manifold and normal form theory,the direction of Hopf bifurcation and the stability of periodic bifurcation solution are discussed.Finally,several numerical examples are given by Matlab to support the theoretical conclusions,besides the influence of every parameter for the bifurcated periodic solutions are discussed by compare the pictures." @default.
- W2376076281 created "2016-06-24" @default.
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- W2376076281 date "2011-01-01" @default.
- W2376076281 modified "2023-09-23" @default.
- W2376076281 title "Hopf Bifurcation and Simulation of Lotka-Volterra Model with Delay" @default.
- W2376076281 hasPublicationYear "2011" @default.
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