Winnerless competition principle and prediction of the transient dynamics in a Lotka-Volterra model.

@article{Afraimovich2008WinnerlessCP,
  title={Winnerless competition principle and prediction of the transient dynamics in a Lotka-Volterra model.},
  author={Valentin S. Afraimovich and Irma Tristan and Ram{\'o}n Huerta and Mikhail I. Rabinovich},
  journal={Chaos},
  year={2008},
  volume={18 4},
  pages={043103}
}
Predicting the evolution of multispecies ecological systems is an intriguing problem. A sufficiently complex model with the necessary predicting power requires solutions that are structurally stable. Small variations of the system parameters should not qualitatively perturb its solutions. When one is interested in just asymptotic results of evolution (as time goes to infinity), then the problem has a straightforward mathematical image involving simple attractors (fixed points or limit cycles… CONTINUE READING

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