Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment

DSpace/Manakin Repository

Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment

Show full item record


Title: Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment
Author: Takeuchi, Y.; N.H., Du; N.T., Hieu; Sato, K.
Abstract: In this paper, we consider the evolution of a system composed of two predator-prey deterministic systems described by Lotka-Volterra equations in random environment. It is proved that under the influence of telegraph noise, all positive trajectories of such a system always go out from any compact set of int R+ 2 with probability one if two rest points of the two systems do not coincide. In case where they have the rest point in common, the trajectory either leaves from any compact set of int R+ 2 or converges to the rest point. The escape of the trajectories from any compact set means that the system is neither permanent nor dissipative. ?? 2005 Elsevier Inc. All rights reserved.
URI: http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/7233
Date: 2006

Files in this item

Files Size Format View
627.pdf 46.31Kb PDF View/Open

This item appears in the following Collection(s)

Show full item record

Search DSpace


Advanced Search

Browse

My Account