Attractivity in a delayed three-species ratio-dependent predator-prey system without dominating instantaneous negative feedback

Rui Xu; Lan-sun Chen; M. A. J. Chaplain

doi:10.1007/s10255-003-0107-1

Attractivity in a delayed three-species ratio-dependent predator-prey system without dominating instantaneous negative feedback

Rui Xu, Lan-sun Chen, M. A. J. Chaplain

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

Abstract

A delayed three-species ratio-dependent predator-prey food-chain model without dominating instantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are derived for the global attractivity of the positive equilibrium of the system.

Original language	English
Pages (from-to)	317-332
Number of pages	16
Journal	Acta Mathematicae Applicatae Sinica
Volume	19
Issue number	2
DOIs	https://doi.org/10.1007/s10255-003-0107-1
Publication status	Published - 2003

Keywords

Time delay
Uniform persistence
Global attractivity

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title = "Attractivity in a delayed three-species ratio-dependent predator-prey system without dominating instantaneous negative feedback",

abstract = "A delayed three-species ratio-dependent predator-prey food-chain model without dominating instantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are derived for the global attractivity of the positive equilibrium of the system.",

keywords = "Time delay, Uniform persistence, Global attractivity",

author = "Rui Xu and Lan-sun Chen and Chaplain, {M. A. J.}",

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AU - Xu, Rui

AU - Chen, Lan-sun

AU - Chaplain, M. A. J.

N1 - dc.publisher: Springer

PY - 2003

Y1 - 2003

N2 - A delayed three-species ratio-dependent predator-prey food-chain model without dominating instantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are derived for the global attractivity of the positive equilibrium of the system.

AB - A delayed three-species ratio-dependent predator-prey food-chain model without dominating instantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are derived for the global attractivity of the positive equilibrium of the system.

KW - Time delay

KW - Uniform persistence

KW - Global attractivity

U2 - 10.1007/s10255-003-0107-1

DO - 10.1007/s10255-003-0107-1

M3 - Article

SN - 0168-9673

VL - 19

SP - 317

EP - 332

JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

IS - 2

ER -

Attractivity in a delayed three-species ratio-dependent predator-prey system without dominating instantaneous negative feedback

Abstract

Keywords

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