Modelling the long-term behaviour of evanescent ecological systems

被引:7
|
作者
Pollett, PK
机构
[1] Department of Mathematics, University of Queensland, Brisbane
关键词
Arnoldi's algorithm; catastrophe theory; population dynamics; quasistationary distributions;
D O I
10.1016/0304-3800(95)00040-2
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 ; 0713 ;
摘要
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.
引用
收藏
页码:135 / 139
页数:5
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