Auger Pierre, Du N. H., Hieu N. T. (2009). Evolution of lotka-volterra predator-prey systems under telegraph noise. Mathematical Biosciences and Engineering, 6 (4), p. 683-700. ISSN 1547-1063.
Titre du document
Evolution of lotka-volterra predator-prey systems under telegraph noise
Mathematical Biosciences and Engineering, 2009,
6 (4), p. 683-700 ISSN 1547-1063
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 lambda which is useful to make suitable predictions about the persistence of the system.
Plan de classement
Sciences fondamentales / Techniques d'analyse et de recherche [020]
