Persistence and stability in an N-species ratio-dependent predator-prey system with distributed time delays

Rui Xu; Mark A. J. Chaplain

doi:10.1016/S0096-3003(01)00127-8

Persistence and stability in an N-species ratio-dependent predator-prey system with distributed time delays

Rui Xu, Mark A. J. Chaplain

Applied Mathematics

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

Abstract

An N-species ratio-dependent predator-prey food-chain model with distributed time delays is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are obtained for the global attractivity of the positive equilibrium of the system.

Original language	English
Pages (from-to)	59-80
Number of pages	22
Journal	Applied Mathematics and Computation
Volume	131
Issue number	1
DOIs	https://doi.org/10.1016/S0096-3003(01)00127-8
Publication status	Published - 2002

Keywords

Distributed time delay
Global attractivity
Uniform persistence

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10.1016/S0096-3003(01)00127-8

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title = "Persistence and stability in an N-species ratio-dependent predator-prey system with distributed time delays",

abstract = "An N-species ratio-dependent predator-prey food-chain model with distributed time delays is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are obtained for the global attractivity of the positive equilibrium of the system.",

keywords = "Distributed time delay, Global attractivity, Uniform persistence",

author = "Rui Xu and Chaplain, {Mark A. J.}",

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AU - Chaplain, Mark A. J.

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AB - An N-species ratio-dependent predator-prey food-chain model with distributed time delays is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are obtained for the global attractivity of the positive equilibrium of the system.

KW - Distributed time delay

KW - Global attractivity

KW - Uniform persistence

U2 - 10.1016/S0096-3003(01)00127-8

DO - 10.1016/S0096-3003(01)00127-8

M3 - Article

SN - 0096-3003

VL - 131

SP - 59

EP - 80

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

Persistence and stability in an N-species ratio-dependent predator-prey system with distributed time delays

Abstract

Keywords

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