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Extinction, stable pattern and their transition in a diffusive single species population with distributed maturity

Published online by Cambridge University Press:  01 June 2008

PEIXUAN WENG
PEIXUAN WENG*
Affiliation:
School of Mathematics, South China Normal University, Guangzhou 510631, P.R. China email: wengpx@scnu.edu.cn
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Abstract

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We consider a single-species structured population with distributed maturity and spatial diffusion in a cylindrical domain subject to Neumann and Robin boundary conditions. We first establish the threshold property of the reaction–diffusion system with distributed delay and non-local interaction in a corresponding lower-dimensional domain, so that the system approaches either an extinction state or a stable spatially varying pattern. We then investigate the transition from the extinction state to the stable pattern of the system in the cylindrical domain.

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Type
Papers
Information
European Journal of Applied Mathematics , Volume 19 , Issue 3 , June 2008, pp. 285 - 309
Copyright
Copyright © Cambridge University Press 2008

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