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.
Publié le : 2005-12-14
Classification:
Lotka-Volterra equation,
competition,
bistable,
telegraph noise,
average permanence,
34C12,
60H10,
92D25
@article{1140727068,
author = {Nguyen, Huu Du and Kon, Ryusuke and Sato, Kazunori and Takeuchi, Yasuhiro},
title = {The evolution of periodic population systems under random environments},
journal = {Tohoku Math. J. (2)},
volume = {57},
number = {1},
year = {2005},
pages = { 447-468},
language = {en},
url = {http://dml.mathdoc.fr/item/1140727068}
}
Nguyen, Huu Du; Kon, Ryusuke; Sato, Kazunori; Takeuchi, Yasuhiro. The evolution of periodic population systems under random environments. Tohoku Math. J. (2), Tome 57 (2005) no. 1, pp. 447-468. http://gdmltest.u-ga.fr/item/1140727068/