**Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator.** / Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.

Research output: Contribution to journal › Article

Xu, R, Chaplain, MAJ & Davidson, FA 2006, 'Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator' *Applied Mathematics and Computation*, vol 176, no. 1, pp. 388-401.

Xu, R., Chaplain, M. A. J., & Davidson, F. A. (2006). Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator. *Applied Mathematics and Computation*, 176(1), 388-401doi: 10.1016/j.amc.2005.09.028

Xu R, Chaplain MAJ, Davidson FA. Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator. Applied Mathematics and Computation. 2006;176(1):388-401.

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

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

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year = "2006",

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A1 - Davidson,F. A.

AU - Xu,Rui

AU - Chaplain,M. A. J.

AU - Davidson,F. A.

PY - 2006

Y1 - 2006

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

M1 - Article

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

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SP - 388

EP - 401

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