Extreme events in population dynamics with functional carrying capacity

@article{Yukalov2012ExtremeEI,
  title={Extreme events in population dynamics with functional carrying capacity},
  author={Vyacheslav I. Yukalov and E. P. Yukalova and Didier Sornette},
  journal={The European Physical Journal Special Topics},
  year={2012},
  volume={205},
  pages={313-354}
}
A class of models is introduced describing the evolution of population species whose carrying capacities are functionals of these populations. The functional dependence of the carrying capacities reflects the fact that the correlations between populations can be realized not merely through direct interactions, as in the usual predator-prey Lotka-Volterra model, but also through the influence of species on the carrying capacities of each other. This includes the self-influence of each kind of… 
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