The complex dynamics of a diffusive prey-predator model with an Allee effect in prey

@article{Rao2016TheCD,
  title={The complex dynamics of a diffusive prey-predator model with an Allee effect in prey},
  author={Feng Rao and Y. Kang},
  journal={Ecological Complexity},
  year={2016},
  volume={28},
  pages={123-144}
}
Abstract This paper investigates complex dynamics of a predator–prey interaction model that incorporates: (a) an Allee effect in prey; (b) the Michaelis–Menten type functional response between prey and predator; and (c) diffusion in both prey and predator. We provide rigorous mathematical results of the proposed model including: (1) the stability of non-negative constant steady states; (2) sufficient conditions that lead to Hopf/Turing bifurcations; (3) a prior estimates of positive steady… Expand
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