Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays

Rui Xu; M. A. J. Chaplain; Lansun Chen

doi:10.1016/S0096-3003(01)00097-2

Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays

Rui Xu, M. A. J. Chaplain, Lansun Chen

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

By means of Lyapunov functional, we have succeeded in establishing the global asymptotic stability of the positive solutions of a delayed n-species nonautonomous Lotka-Volterra type competitive system without dominating instantaneous negative feedbacks. As a corollary, we show that the global asymptotic stability of the positive solution is maintained provided that the delayed negative feedbacks dominate other interspecific interaction effects with delays and the mean delays are sufficiently small.

Original language	English
Pages (from-to)	295-309
Number of pages	15
Journal	Applied Mathematics and Computation
Volume	130
Issue number	2
DOIs	https://doi.org/10.1016/S0096-3003(01)00097-2
Publication status	Published - 2002

Keywords

Lyapunov functional
Global asymptotic stability
Infinite delay
Nonautonomous Lotka-Volterra competitive system

Access to Document

10.1016/S0096-3003(01)00097-2

Cite this

@article{acb1387d9e3344f296554ae5cccda0b2,

title = "Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays",

abstract = "By means of Lyapunov functional, we have succeeded in establishing the global asymptotic stability of the positive solutions of a delayed n-species nonautonomous Lotka-Volterra type competitive system without dominating instantaneous negative feedbacks. As a corollary, we show that the global asymptotic stability of the positive solution is maintained provided that the delayed negative feedbacks dominate other interspecific interaction effects with delays and the mean delays are sufficiently small.",

keywords = "Lyapunov functional, Global asymptotic stability, Infinite delay, Nonautonomous Lotka-Volterra competitive system",

author = "Rui Xu and Chaplain, {M. A. J.} and Lansun Chen",

note = "dc.publisher: Elsevier ",

year = "2002",

doi = "10.1016/S0096-3003(01)00097-2",

language = "English",

volume = "130",

pages = "295--309",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier",

number = "2",

}

TY - JOUR

T1 - Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays

AU - Xu, Rui

AU - Chaplain, M. A. J.

AU - Chen, Lansun

N1 - dc.publisher: Elsevier

PY - 2002

Y1 - 2002

N2 - By means of Lyapunov functional, we have succeeded in establishing the global asymptotic stability of the positive solutions of a delayed n-species nonautonomous Lotka-Volterra type competitive system without dominating instantaneous negative feedbacks. As a corollary, we show that the global asymptotic stability of the positive solution is maintained provided that the delayed negative feedbacks dominate other interspecific interaction effects with delays and the mean delays are sufficiently small.

AB - By means of Lyapunov functional, we have succeeded in establishing the global asymptotic stability of the positive solutions of a delayed n-species nonautonomous Lotka-Volterra type competitive system without dominating instantaneous negative feedbacks. As a corollary, we show that the global asymptotic stability of the positive solution is maintained provided that the delayed negative feedbacks dominate other interspecific interaction effects with delays and the mean delays are sufficiently small.

KW - Lyapunov functional

KW - Global asymptotic stability

KW - Infinite delay

KW - Nonautonomous Lotka-Volterra competitive system

U2 - 10.1016/S0096-3003(01)00097-2

DO - 10.1016/S0096-3003(01)00097-2

M3 - Article

SN - 0096-3003

VL - 130

SP - 295

EP - 309

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays

Abstract

Keywords

Access to Document

Fingerprint

Cite this