Modelling the long-term behaviour of evanescent ecological systems

Phil Pollett

Abstract: We shall present conditions for the existence of quasistationary distributions for a large class of processes which arise in ecological modelling. These conditions are usually easy to check, because they are expressed solely in terms of the transition rates which define the model. Our results will be illustrated with reference to birth-death processes and the birth-death and catastrophe process. We also address computational issues connected with modelling large-scale systems.

Acknowledgement: This worked was funded by the Australian Research Council.

The author:

• Phil Pollett, Discipline of Mathematics, The University of Queensland. pkp@maths.uq.edu.au

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Last modified: 26th December 1995