Global stability of discrete population models with time delays and fluctuating environment

Authors
Wang, WD Mulone, G Salemi, F Salone, V
Citation
Wd. Wang et al., Global stability of discrete population models with time delays and fluctuating environment, J MATH ANAL, 264(1), 2001, pp. 147-167
Citations number
35
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
264
Issue
1
Year of publication
2001
Pages
147 - 167
Database
ISI
SICI code
0022-247X(200112)264:1<147:GSODPM>2.0.ZU;2-Z
Abstract
The global stability of a discrete population model of Volterra type is stu died. The model incorporates time delays and allows for a fluctuating envir onment. By linearization of the model at positive solutions and constructio n of Liapunov functionals, sufficient conditions arc obtained to ensure a p ositive solution of the model is stable and attracts all positive solutions . (C) 2001 Elsevier Science.