Asymptotic behavior of a predator-prey diffusion system with time delays

Yijie Meng; Yifu Wang

Asymptotic behavior of a predator-prey diffusion system with time delays

Yijie Meng^*
, Yifu Wang

^*Corresponding author for this work

School of Mathematics and Statistics

Hubei University of Arts and Science

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

1 Citation (Scopus)

Abstract

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

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Electronic Journal of Differential Equations
Volume	2005
Publication status	Published - 24 Nov 2005

Keywords

Asymptotic behavior
Predator-prey diffusion system
Time delays
Upper-lower solutions

Cite this

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title = "Asymptotic behavior of a predator-prey diffusion system with time delays",

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

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

author = "Yijie Meng and Yifu Wang",

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T1 - Asymptotic behavior of a predator-prey diffusion system with time delays

AU - Meng, Yijie

AU - Wang, Yifu

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

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

KW - Asymptotic behavior

KW - Predator-prey diffusion system

KW - Time delays

KW - Upper-lower solutions

UR - https://www.scopus.com/pages/publications/28244446963

M3 - Article

AN - SCOPUS:28244446963

SN - 1072-6691

VL - 2005

SP - 1

EP - 11

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Asymptotic behavior of a predator-prey diffusion system with time delays

Abstract

Keywords

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