ALMOST-PERIODIC SOLUTIONS OF A COMPETITION SYSTEM WITH DOMINATED INFINITE DELAYS

Authors
HE XZ
Citation
Xz. He, ALMOST-PERIODIC SOLUTIONS OF A COMPETITION SYSTEM WITH DOMINATED INFINITE DELAYS, Tohoku Mathematical Journal, 50(1), 1998, pp. 71-89
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
Tohoku Mathematical Journal → ACNP
ISSN journal
00408735
Volume
50
Issue
1
Year of publication
1998
Pages
71 - 89
Database
ISI
SICI code
0040-8735(1998)50:1<71:ASOACS>2.0.ZU;2-G
Abstract
In this paper, we consider an n-species almost periodic Lotka-Volterra competition system with dominated infinite delays. By constructing su itable Lyapunov functionals, we are able to show that, under a set of algebraic conditions, the system has a unique positive almost periodic solution which is globally attractive.