AM  Vol.2 No.12 , December 2011
Pattern Formation in Tri-Trophic Ratio-Dependent Food Chain Model
ABSTRACT
In this paper, a spatial tri-trophic food chain model with ratio-dependent Michaelis-Menten type functional response under homogeneous Neumann boundary conditions is studied. Conditions for Hopf and Turing bifurcation are derived. Sufficient conditions for the emergence of spatial patterns are obtained. The results of numerical simulations reveal the formation of labyrinth patterns and the coexistence of spotted and stripe-like patterns.

Cite this paper
nullD. Melese and S. Gakkhar, "Pattern Formation in Tri-Trophic Ratio-Dependent Food Chain Model," Applied Mathematics, Vol. 2 No. 12, 2011, pp. 1507-1514. doi: 10.4236/am.2011.212213.
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