Persistence and stability of a stage-structured predator-prey model with time delays

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

doi:10.1016/S0096-3003(03)00226-1

Persistence and stability of a stage-structured predator-prey model with time delays

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

Applied Mathematics

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

Abstract

A delayed predator-prey model with stage structure for the predator is proposed and investigated. Sufficient conditions are derived for persistence, the local and global asymptomatic stability of a positive equilibrium of the model. Numerical simulations are presented to illustrate the feasability of our main results.

Original language	English
Pages (from-to)	259-277
Number of pages	19
Journal	Applied Mathematics and Computation
Volume	150
Issue number	1
DOIs	https://doi.org/10.1016/S0096-3003(03)00226-1
Publication status	Published - Feb 2004

Keywords

Stage structure
Predator-prey model
Time delay
Persistence
Stability

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10.1016/S0096-3003(03)00226-1

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title = "Persistence and stability of a stage-structured predator-prey model with time delays",

abstract = "A delayed predator-prey model with stage structure for the predator is proposed and investigated. Sufficient conditions are derived for persistence, the local and global asymptomatic stability of a positive equilibrium of the model. Numerical simulations are presented to illustrate the feasability of our main results.",

keywords = "Stage structure, Predator-prey model, Time delay, Persistence, Stability",

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

year = "2004",

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language = "English",

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T1 - Persistence and stability of a stage-structured predator-prey model with time delays

AU - Xu, Rui

AU - Chaplain, M. A. J.

AU - Davidson, F. A.

PY - 2004/2

Y1 - 2004/2

N2 - A delayed predator-prey model with stage structure for the predator is proposed and investigated. Sufficient conditions are derived for persistence, the local and global asymptomatic stability of a positive equilibrium of the model. Numerical simulations are presented to illustrate the feasability of our main results.

AB - A delayed predator-prey model with stage structure for the predator is proposed and investigated. Sufficient conditions are derived for persistence, the local and global asymptomatic stability of a positive equilibrium of the model. Numerical simulations are presented to illustrate the feasability of our main results.

KW - Stage structure

KW - Predator-prey model

KW - Time delay

KW - Persistence

KW - Stability

UR - https://www.scopus.com/pages/publications/0942266742

U2 - 10.1016/S0096-3003(03)00226-1

DO - 10.1016/S0096-3003(03)00226-1

M3 - Article

SN - 0096-3003

VL - 150

SP - 259

EP - 277

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

Persistence and stability of a stage-structured predator-prey model with time delays

Abstract

Keywords

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