Heriot-Watt Mathematics Report Series
HWM01-49, 11 Jan 2002

On a system of reaction-diffusion equations describing a population with two age groups

K.J Brown and Y Zhang


Abstract

A system of reaction-diffusion equations modelling a population divided into juvenile and adult age groups is studied. The system is not co-operative but its linear part is and this makes it possible to establish existence, non-existence and stability results for non-negative solutions of the system in terms of the principal eigenvalue of the corresponding linearized system.

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