Global asymptotic stability of periodic solution for a cooperative system with time delays

Rui Xu; M. A. J. Chaplain; F. A. Davidson

Global asymptotic stability of periodic solution for a cooperative system with time delays

Rui Xu
, M. A. J. Chaplain
, F. A. Davidson

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

Abstract

A periodic cooperative model with time delays is investigated. By using the continuation theorem of coincidence degree theory and by constructing a suitable Lyapunov functional, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions of the system.

Original language	English
Pages (from-to)	915-936
Number of pages	22
Journal	Indian Journal of Pure and Applied Mathematics
Volume	35
Issue number	7
Publication status	Published - 2004

Keywords

Cooperative system
Time delay
Periodic solution
Continuation theorem of coincidence degree theory
Lyapunov functional
Global stability

Embargoed Document

Global asymptotic stability.pdf
782 KB
Embargo ends: 31/12/2099 00:00 GMT

Cite this

@article{63918a27e7a64ddea7d4261361672a78,

title = "Global asymptotic stability of periodic solution for a cooperative system with time delays",

abstract = "A periodic cooperative model with time delays is investigated. By using the continuation theorem of coincidence degree theory and by constructing a suitable Lyapunov functional, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions of the system.",

keywords = "Cooperative system, Time delay, Periodic solution, Continuation theorem of coincidence degree theory, Lyapunov functional, Global stability",

author = "Rui Xu and Chaplain, \{M. A. J.\} and Davidson, \{F. A.\}",

note = "dc.publisher: Indian National Science Academy ",

year = "2004",

language = "English",

volume = "35",

pages = "915--936",

journal = "Indian Journal of Pure and Applied Mathematics",

issn = "0019-5588",

publisher = "Indian National Science Academy",

number = "7",

}

TY - JOUR

T1 - Global asymptotic stability of periodic solution for a cooperative system with time delays

AU - Xu, Rui

AU - Chaplain, M. A. J.

AU - Davidson, F. A.

N1 - dc.publisher: Indian National Science Academy

PY - 2004

Y1 - 2004

N2 - A periodic cooperative model with time delays is investigated. By using the continuation theorem of coincidence degree theory and by constructing a suitable Lyapunov functional, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions of the system.

AB - A periodic cooperative model with time delays is investigated. By using the continuation theorem of coincidence degree theory and by constructing a suitable Lyapunov functional, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions of the system.

KW - Cooperative system

KW - Time delay

KW - Periodic solution

KW - Continuation theorem of coincidence degree theory

KW - Lyapunov functional

KW - Global stability

M3 - Article

SN - 0019-5588

VL - 35

SP - 915

EP - 936

JO - Indian Journal of Pure and Applied Mathematics

JF - Indian Journal of Pure and Applied Mathematics

IS - 7

ER -

Global asymptotic stability of periodic solution for a cooperative system with time delays

Abstract

Keywords

Embargoed Document

Fingerprint

Cite this