Carrying capacity Lotka-volterra predator-prey systems Stationary distribution Telegraph noise
Issue Date:
2009
Publisher:
Mathematical Biosciences and Engineering
Citation:
Volume 6, Issue 4, Page 683-700
Abstract:
In this paper we study a Lotka-Volterra predator-prey system with prey logistic growth under the
telegraph noise. The telegraph noise switches at random two prey-predator models. The 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. We also focus on persistence of the predator and thus we look for conditions that allow
persistence of the predator and prey community. We show that the asymptotic behaviour highly depends on
the value of some constant A which is useful to make suitable predictions about the persistence of the
system.
