Asymptotic Behavior of a Competition-Diffusion System with Time Delays

Yifu Wang; Yijie Meng

doi:10.1016/S0895-7177(03)90023-9

Asymptotic Behavior of a Competition-Diffusion System with Time Delays

Yifu Wang^*, Yijie Meng

^*Corresponding author for this work

School of Mathematics and Statistics

Hubei University of Arts and Science

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

3 Citations (Scopus)

Abstract

In this paper, we study a class of reaction-diffusion systems modelling the dynamics of two competing species with time delay effects. The global asymptotic convergence is established in terms of the rate constants of reaction function, independent of the time delays and the effect of diffusion by the upper-lower solutions and iteration method.

Original language	English
Pages (from-to)	509-517
Number of pages	9
Journal	Mathematical and Computer Modelling
Volume	38
Issue number	5-6
DOIs	https://doi.org/10.1016/S0895-7177(03)90023-9
Publication status	Published - 10 Oct 2003

Keywords

Asymptotic behavior
Competition-diffusion system
Time delays
Upper-lower solutions

Access to Document

10.1016/S0895-7177(03)90023-9

Cite this

Wang, Y., & Meng, Y. (2003). Asymptotic Behavior of a Competition-Diffusion System with Time Delays. Mathematical and Computer Modelling, 38(5-6), 509-517. https://doi.org/10.1016/S0895-7177(03)90023-9

@article{5be2fe31248641e1bd970e7c9abc7288,

title = "Asymptotic Behavior of a Competition-Diffusion System with Time Delays",

abstract = "In this paper, we study a class of reaction-diffusion systems modelling the dynamics of two competing species with time delay effects. The global asymptotic convergence is established in terms of the rate constants of reaction function, independent of the time delays and the effect of diffusion by the upper-lower solutions and iteration method.",

keywords = "Asymptotic behavior, Competition-diffusion system, Time delays, Upper-lower solutions",

author = "Yifu Wang and Yijie Meng",

year = "2003",

month = oct,

day = "10",

doi = "10.1016/S0895-7177(03)90023-9",

language = "English",

volume = "38",

pages = "509--517",

journal = "Mathematical and Computer Modelling",

issn = "0895-7177",

publisher = "Elsevier Ltd.",

number = "5-6",

}

TY - JOUR

T1 - Asymptotic Behavior of a Competition-Diffusion System with Time Delays

AU - Wang, Yifu

AU - Meng, Yijie

PY - 2003/10/10

Y1 - 2003/10/10

N2 - In this paper, we study a class of reaction-diffusion systems modelling the dynamics of two competing species with time delay effects. The global asymptotic convergence is established in terms of the rate constants of reaction function, independent of the time delays and the effect of diffusion by the upper-lower solutions and iteration method.

AB - In this paper, we study a class of reaction-diffusion systems modelling the dynamics of two competing species with time delay effects. The global asymptotic convergence is established in terms of the rate constants of reaction function, independent of the time delays and the effect of diffusion by the upper-lower solutions and iteration method.

KW - Asymptotic behavior

KW - Competition-diffusion system

KW - Time delays

KW - Upper-lower solutions

UR - http://www.scopus.com/inward/record.url?scp=0142020788&partnerID=8YFLogxK

U2 - 10.1016/S0895-7177(03)90023-9

DO - 10.1016/S0895-7177(03)90023-9

M3 - Article

AN - SCOPUS:0142020788

SN - 0895-7177

VL - 38

SP - 509

EP - 517

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 5-6

ER -

Asymptotic Behavior of a Competition-Diffusion System with Time Delays

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this