Basins of attraction of the classic model of competition between two populations

@article{Fassoni2014BasinsOA,
  title={Basins of attraction of the classic model of competition between two populations},
  author={A. C. Fassoni and L. T. Takahashi and L. J. Santos},
  journal={Ecological Complexity},
  year={2014},
  volume={18},
  pages={39-48}
}
  • A. C. Fassoni, L. T. Takahashi, L. J. Santos
  • Published 2014
  • Biology
  • Ecological Complexity
  • Abstract In this paper we revisit the classic Lotka–Volterra model of competition between two populations and present some new results on the regime of bistability presented by this model. Initially, we review the results on the global stability analysis of the system and present a new global energy function. Then, we extend the model analysis in the case of strong competition, when the system has two asymptotically stable equilibria. The influence of parameters on the size and shape of the… CONTINUE READING
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