Open Access
December 2005 The evolution of periodic population systems under random environments
Ryusuke Kon, Huu Du Nguyen, Kazunori Sato, Yasuhiro Takeuchi
Tohoku Math. J. (2) 57(4): 447-468 (December 2005). DOI: 10.2748/tmj/1140727068

Abstract

In this paper we study the behavior of trajectories of the Lotka-Volterra competition system with periodic coefficients under telegraph noise. We give sufficient conditions for the average permanence. Furthermore, we determine the $\omega$-limit sets of the system.

Citation

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Ryusuke Kon. Huu Du Nguyen. Kazunori Sato. Yasuhiro Takeuchi. "The evolution of periodic population systems under random environments." Tohoku Math. J. (2) 57 (4) 447 - 468, December 2005. https://doi.org/10.2748/tmj/1140727068

Information

Published: December 2005
First available in Project Euclid: 23 February 2006

zbMATH: 1117.34052
MathSciNet: MR2203542
Digital Object Identifier: 10.2748/tmj/1140727068

Subjects:
Primary: 34C12
Secondary: 60H10 , 92D25

Keywords: average permanence , bistable , competition , Lotka-Volterra equation , telegraph noise

Rights: Copyright © 2005 Tohoku University

Vol.57 • No. 4 • December 2005
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