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Positive Solutions of General Delayed Competitive or Cooperative Lotka-Volterra Systems.

Authors :
Hutchison, David
Kanade, Takeo
Kittler, Josef
Kleinberg, Jon M.
Mattern, Friedemann
Mitchell, John C.
Naor, Moni
Nierstrasz, Oscar
Rangan, C. Pandu
Steffen, Bernhard
Sudan, Madhu
Terzopoulos, Demetri
Tygar, Doug
Vardi, Moshe Y.
Weikum, Gerhard
Derong Liu
Shumin Fei
Zeng-Guang Hou
Huaguang Zhang
Changyin Sun
Source :
Advances in Neural Networks: ISNN 2007 (9783540723820); 2007, p1034-1044, 11p
Publication Year :
2007

Abstract

In this paper, we investigate dynamical behavior of a general class of competitive or cooperative Lotka-Volterra systems with delays. Positive solutions and global stability of nonnegative equilibrium are discussed. Sufficient condition independent of delays guaranteeing existence of globally stable equilibrium is given. A Simulation verifying theoretical results is given, too. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISBNs :
9783540723820
Database :
Complementary Index
Journal :
Advances in Neural Networks: ISNN 2007 (9783540723820)
Publication Type :
Book
Accession number :
33176512
Full Text :
https://doi.org/10.1007/978-3-540-72383-7_121