Periodic solutions of a predator-prey model with stage structure for predator

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

doi:10.1016/S0096-3003(03)00753-7

Periodic solutions of a predator-prey model with stage structure for predator

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

Applied Mathematics

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

Abstract

A delayed periodic predator?prey model with stage structure for predator is proposed. It is assumed that immature individuals and mature individuals of the predator are divided by a fixed age, and that immature predators do not have the ability to attack prey. Sufficient conditions are derived for the existence, uniqueness and global asymptotic stability of positive periodic solutions of the model. Numerical simulations are presented to illustrate the feasibility of our main results.

Original language	English
Pages (from-to)	847-870
Number of pages	24
Journal	Applied Mathematics and Computation
Volume	154
Issue number	3
DOIs	https://doi.org/10.1016/S0096-3003(03)00753-7
Publication status	Published - 2004

Keywords

Stage structure
Predator-prey model
Periodic solution
Time delay

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10.1016/S0096-3003(03)00753-7

Cite this

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title = "Periodic solutions of a predator-prey model with stage structure for predator",

abstract = "A delayed periodic predator?prey model with stage structure for predator is proposed. It is assumed that immature individuals and mature individuals of the predator are divided by a fixed age, and that immature predators do not have the ability to attack prey. Sufficient conditions are derived for the existence, uniqueness and global asymptotic stability of positive periodic solutions of the model. Numerical simulations are presented to illustrate the feasibility of our main results.",

keywords = "Stage structure, Predator-prey model, Periodic solution, Time delay",

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

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AU - Xu, Rui

AU - Chaplain, M. A. J.

AU - Davidson, F. A.

PY - 2004

Y1 - 2004

N2 - A delayed periodic predator?prey model with stage structure for predator is proposed. It is assumed that immature individuals and mature individuals of the predator are divided by a fixed age, and that immature predators do not have the ability to attack prey. Sufficient conditions are derived for the existence, uniqueness and global asymptotic stability of positive periodic solutions of the model. Numerical simulations are presented to illustrate the feasibility of our main results.

AB - A delayed periodic predator?prey model with stage structure for predator is proposed. It is assumed that immature individuals and mature individuals of the predator are divided by a fixed age, and that immature predators do not have the ability to attack prey. Sufficient conditions are derived for the existence, uniqueness and global asymptotic stability of positive periodic solutions of the model. Numerical simulations are presented to illustrate the feasibility of our main results.

KW - Stage structure

KW - Predator-prey model

KW - Periodic solution

KW - Time delay

U2 - 10.1016/S0096-3003(03)00753-7

DO - 10.1016/S0096-3003(03)00753-7

M3 - Article

SN - 0096-3003

VL - 154

SP - 847

EP - 870

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 3

ER -

Periodic solutions of a predator-prey model with stage structure for predator

Abstract

Keywords

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