Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator

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

doi:10.1016/j.amc.2005.09.028

Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator

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

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

3 Citations (Scopus)

Abstract

A Lotka–Volterra type reaction–diffusion predator–prey model with stage structure for the predator and time delay due to maturity is investigated. By successively modifying the coupled lower–upper solution pairs, sufficient conditions independent of the effect of spatial diffusion are derived for the global convergence of positive solutions to the proposed problem.

Original language	English
Pages (from-to)	388-401
Number of pages	14
Journal	Applied Mathematics and Computation
Volume	176
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2005.09.028
Publication status	Published - 2006

Keywords

Reaction-diffusion
Stage structure
Time delay
Predator-prey model

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10.1016/j.amc.2005.09.028

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title = "Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator",

abstract = "A Lotka–Volterra type reaction–diffusion predator–prey model with stage structure for the predator and time delay due to maturity is investigated. By successively modifying the coupled lower–upper solution pairs, sufficient conditions independent of the effect of spatial diffusion are derived for the global convergence of positive solutions to the proposed problem.",

keywords = "Reaction-diffusion, Stage structure, Time delay, Predator-prey model",

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

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year = "2006",

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AU - Xu, Rui

AU - Chaplain, M. A. J.

AU - Davidson, F. A.

N1 - dc.publisher: Elsevier

PY - 2006

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N2 - A Lotka–Volterra type reaction–diffusion predator–prey model with stage structure for the predator and time delay due to maturity is investigated. By successively modifying the coupled lower–upper solution pairs, sufficient conditions independent of the effect of spatial diffusion are derived for the global convergence of positive solutions to the proposed problem.

AB - A Lotka–Volterra type reaction–diffusion predator–prey model with stage structure for the predator and time delay due to maturity is investigated. By successively modifying the coupled lower–upper solution pairs, sufficient conditions independent of the effect of spatial diffusion are derived for the global convergence of positive solutions to the proposed problem.

KW - Reaction-diffusion

KW - Stage structure

KW - Time delay

KW - Predator-prey model

U2 - 10.1016/j.amc.2005.09.028

DO - 10.1016/j.amc.2005.09.028

M3 - Article

SN - 0096-3003

VL - 176

SP - 388

EP - 401

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator

Abstract

Keywords

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