Dynamical behavior of Lotka-Volterra competition systems: Non-autonomous bistable case and the effect of telegraph noise

Abstract

This article is concerned with the study of trajectory behavior of Lotka-Volterra competition bistable systems and systems with telegraph noises. We proved that for bistable systems, there exists a unique solution, bounded above and below by positive constants. The oscillatory situation of systems with telegraph noises is pointed out. ?? 2004 Elsevier B.V. All rights reserved.