Permanent coexistence in general models of three interacting species.

@article{Hutson1985PermanentCI,
  title={Permanent coexistence in general models of three interacting species.},
  author={Vivian Hutson and Richard Law},
  journal={Journal of mathematical biology},
  year={1985},
  volume={21 3},
  pages={285-98}
}
We address the question of the long term coexistence of three interacting species whose dynamics are governed by the ordinary differential equations xi = xifi(i = 1,2,3). In order for any theory in this area to be useful in practice, it must utilize as little information as possible concerning the forms of the fi, in view of the great difficulty of determining these experimentally. Here we obtain, under rather general conditions on the equations, a criterion for judging whether the species will… CONTINUE READING