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. © 2003 Elsevier Inc. All rights reserved.
- Co-operative systems
- Reaction-diffusion equation