Stochastic Lotka-Volterra food chains.

@article{Hening2018StochasticLF,
  title={Stochastic Lotka-Volterra food chains.},
  author={Alexandru Hening and Dang H. Nguyen},
  journal={Journal of mathematical biology},
  year={2018},
  volume={77 1},
  pages={135-163}
}
We study the persistence and extinction of species in a simple food chain that is modelled by a Lotka-Volterra system with environmental stochasticity. There exist sharp results for deterministic Lotka-Volterra systems in the literature but few for their stochastic counterparts. The food chain we analyze consists of one prey and [Formula: see text] predators. The jth predator eats the [Formula: see text]th species and is eaten by the [Formula: see text]th predator; this way each species only… CONTINUE READING
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Certain properties related to well posedness of switching diffusions

  • D. H Nguyen, G. Yin, C. Zhu
  • Stochastic Process. Appl
  • 2017

Dynamics of a stochastic Lotka-Volterra model perturbed by white noise

  • N. H. Du, D. H Nguyen, G. Yin
  • J. Appl. Probab
  • 2016

Lobry , Lotka Volterra in fluctuating environment or “ how switching between beneficial environments can make survival harder ”

  • M. Benäım, C.
  • Ann . Appl . Probab .
  • 2016

Lotka Volterra in fluctuating environment or “how switching between beneficial environments can make survival harder

  • M. Benäım, C. Lobry
  • Ann. Appl. Probab
  • 2016

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