Author:
Renshaw Eric,Dai Yonglong
Abstract
A spatial process is considered in which two general birth-death processes are linked by migration of individuals. We examine conditions for weak symmetry and regularity, and develop necessary and sufficient conditions for recurrence. The results are easily extended to the k-process case.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference17 articles.
1. Continuous-Time Markov Chains
2. Interconnected population processes
3. The effect of migration between two developing populations;Renshaw;Proc. 39th Session Int. Statist. Inst.,1973b
4. A bivariate birth-death process which approximates to the spread of a disease involving a vector
5. Renshaw E. (1974) Stepping-stone models for population growth. J. Appl. Prob , 11, 16–31.