Birth-Death Processes Within a Single Population

3 Birth-Death Processes Within a Single Population 

In this section pure birth-death processes will be discussed. Although such models have been dealt with extensively in the literature (see, for instance [4.1-8]), there still exist some seldom considered problems referring to the relation between the exact stationary or quasi-stationary solution of the master equation and the deterministic approach. This relation will be treated in Sect. 4.3.1 including an appUcation of the results obtained to observations on animal populations [4.15,17]. Further, the generalization of the stochastic standard model by including multistep birth or death processes will be investigated in Sect. 4.3.2. 

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Birth-Death Processes Within a Single Population the standard deviation a of the distribution can be obtained as [4.3] ... 

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