@article{fdi:010048334,
  title = {{E}volution of lotka-volterra predator-prey systems under telegraph noise},
  author = {{A}uger, {P}ierre and {D}u, {N}. {H}. and {H}ieu, {N}. {T}.},
  editor = {},
  language = {{ENG}},
  abstract = {{I}n this paper we study a {L}otka-{V}olterra predator-prey system with prey logistic growth under the telegraph noise. {T}he telegraph noise switches at random two prey-predator models. {T}he aim of this work is to determine the subset of omega-limit set of the system and show out the existence of a stationary distribution. {W}e also focus on persistence of the predator and thus we look for conditions that allow persistence of the predator and prey community. {W}e show that the asymptotic behaviour highly depends on the value of some constant lambda which is useful to make suitable predictions about the persistence of the system.},
  keywords = {{L}otka-{V}olterra predator-prey systems ; carrying capacity ; telegraph ; noise ; stationary distribution},
  booktitle = {},
  journal = {{M}athematical {B}iosciences and {E}ngineering},
  volume = {6},
  numero = {4},
  pages = {683--700},
  ISSN = {1547-1063},
  year = {2009},
  DOI = {10.3934/mbe.2009.6.683},
  URL = {https://www.documentation.ird.fr/hor/fdi:010048334},
}