GLOBAL STABILITY FOR 2-SPECIES LOTKA-VOLTERRA SYSTEMS WITH DELAY

Authors
LU ZG WANG WD
Citation
Zg. Lu et Wd. Wang, GLOBAL STABILITY FOR 2-SPECIES LOTKA-VOLTERRA SYSTEMS WITH DELAY, Journal of mathematical analysis and applications, 208(1), 1997, pp. 277-280
Citations number
4
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
208
Issue
1
Year of publication
1997
Pages
277 - 280
Database
ISI
SICI code
0022-247X(1997)208:1<277:GSF2LS>2.0.ZU;2-X
Abstract
In this paper, a two-species delayed Lotka-Volterra system without del ayed intraspecific competitions is considered. It is proved that the s ystem is globally stable for all off-diagonal delays pi(12), tau(21) g reater than or equal to 0, if and only if the interaction matrix of th e system satisfies Condition (WDD). (C) 1997 Academic Press.