Journal
NONLINEAR DYNAMICS
Volume 76, Issue 3, Pages 1661-1676Publisher
SPRINGER
DOI: 10.1007/s11071-014-1237-0
Keywords
Food chain model; Stability; Pattern formation; Turing/Hopf bifurcation
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In this paper, we investigate the complex dynamics of a ratio-dependent spatially extended food chain model. Through a detailed analytical study of the reaction-diffusion model, we obtain some conditions for global stability. On the basis of bifurcation analysis, we present the evolutionary process of pattern formation near the coexistence equilibrium point via numerical simulation. And the sequence cold spots stripe-spots mixtures stripes hot stripe-spots mixtures hot spots chaotic wave patterns controlled by parameters or in the model are presented. These results indicate that the reaction-diffusion model is an appropriate tool for investigating fundamental mechanism of complex spatiotemporal dynamics.
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