# Turing instability for a ratio-dependent predator-prey model with diffusion

@article{Aly2011TuringIF, title={Turing instability for a ratio-dependent predator-prey model with diffusion}, author={Shaban Aly and I. Kim and D. Sheen}, journal={Appl. Math. Comput.}, year={2011}, volume={217}, pages={7265-7281} }

Abstract Ratio-dependent predator–prey models have been increasingly favored by field ecologists where predator–prey interactions have to be taken into account the process of predation search. In this paper we study the conditions of the existence and stability properties of the equilibrium solutions in a reaction–diffusion model in which predator mortality is neither a constant nor an unbounded function, but it is increasing with the predator abundance. We show that analytically at a certain… Expand

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