Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion

@inproceedings{Wang2004StationaryPF,
  title={Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion},
  author={Mingxin Wang},
  year={2004}
}
Abstract We study a reaction diffusion system arising from a three-species prey–predator model with prey-dependent and ratio-dependent functional responses. The main aim of this paper is to study the global existence and bifurcation of non-constant positive steady-states. In particular, we will show that even though the unique positive constant steady-state is stable for the ODE dynamics, non-constant positive steady-states exist for the reaction diffusion system. This demonstrates that… CONTINUE READING

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