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• W2092094369 abstract "In this paper, we consider the direction and stability of time-delay induced Hopf bifurcation in a three species food-chain model with diffusion. By means of analyzing eigenvalue spectrum and Lyapunov functional, we show that the positive equilibrium is asymptotically stable in the absence of time delay, but loses its stability via the Hopf bifurcation when the time delay increases beyond a threshold. Using the norm form and the center manifold theory, we investigate the stability and direction of the Hopf bifurcation. The instability of the Hopf bifurcation leads to the emergence of spatial patterns. Numerical calculations are performed to illustrate our theoretical results." @default.
• W2092094369 created "2016-06-24" @default.
• W2092094369 creator A5040256399 @default.
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• W2092094369 date "2013-12-01" @default.
• W2092094369 modified "2023-10-16" @default.
• W2092094369 title "Hopf bifurcation analysis in a diffusive food-chain model with time delay" @default.
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• W2092094369 doi "https://doi.org/10.1016/j.camwa.2013.09.002" @default.
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