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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

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.

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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