Persistence and stability for a two species ratio-dependent predator-prey system with distributed time delay

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

doi:10.1016/S0022-247X(02)00020-3

Persistence and stability for a two species ratio-dependent predator-prey system with distributed time delay

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

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

10 Citations (Scopus)

Abstract

A two-species ratio-dependent predator–prey model with distributed time delay is investigated. It is shown that the system is persistent under some appropriate conditions, and sufficient conditions are obtained for both the local and global stability of the positive equilibrium of the system.

Original language	English
Pages (from-to)	256-277
Number of pages	22
Journal	Journal of Mathematical Analysis and Applications
Volume	269
Issue number	1
DOIs	https://doi.org/10.1016/S0022-247X(02)00020-3
Publication status	Published - 2002

Keywords

Time delay
Uniform persistence
Local stability
Global stability

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10.1016/S0022-247X(02)00020-3

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@article{f14c87fef9204e48a0b38add5243b407,

title = "Persistence and stability for a two species ratio-dependent predator-prey system with distributed time delay",

abstract = "A two-species ratio-dependent predator–prey model with distributed time delay is investigated. It is shown that the system is persistent under some appropriate conditions, and sufficient conditions are obtained for both the local and global stability of the positive equilibrium of the system.",

keywords = "Time delay, Uniform persistence, Local stability, Global stability",

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

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year = "2002",

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language = "English",

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journal = "Journal of Mathematical Analysis and Applications",

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T1 - Persistence and stability for a two species ratio-dependent predator-prey system with distributed time delay

AU - Xu, Rui

AU - Davidson, F. A.

AU - Chaplain, M. A. J.

N1 - dc.publisher: Elsevier

PY - 2002

Y1 - 2002

N2 - A two-species ratio-dependent predator–prey model with distributed time delay is investigated. It is shown that the system is persistent under some appropriate conditions, and sufficient conditions are obtained for both the local and global stability of the positive equilibrium of the system.

AB - A two-species ratio-dependent predator–prey model with distributed time delay is investigated. It is shown that the system is persistent under some appropriate conditions, and sufficient conditions are obtained for both the local and global stability of the positive equilibrium of the system.

KW - Time delay

KW - Uniform persistence

KW - Local stability

KW - Global stability

U2 - 10.1016/S0022-247X(02)00020-3

DO - 10.1016/S0022-247X(02)00020-3

M3 - Article

SN - 0022-247X

VL - 269

SP - 256

EP - 277

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Persistence and stability for a two species ratio-dependent predator-prey system with distributed time delay

Abstract

Keywords

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