Dynamics of a Leslie–Gower predator–prey model with additive Allee effect

@article{Cai2015DynamicsOA,
  title={Dynamics of a Leslie–Gower predator–prey model with additive Allee effect},
  author={Yongli Cai and Caidi Zhao and Weiming Wang and Jinfeng Wang},
  journal={Applied Mathematical Modelling},
  year={2015},
  volume={39},
  pages={2092-2106}
}
Abstract In this paper, we investigate the complex dynamics of a Leslie–Gower predation model with additive Allee effect on prey. Without Allee effect, the model has a unique globally asymptotically stable equilibrium point under some conditions. With Allee effect on prey, the model has none, one or two positive equilibria. Moreover, we prove the existence of parameter subsets for which the model can have Hopf bifurcation. And we find that when the model exhibits two positive equilibria there… Expand
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